104:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones cuadráticas son de mucha utilidad en múltiples campos. En la física, :@0.287490:0.150300:0.907691:0.150300:0.907691:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describen fenómenos y movimientos. En la economía, se utilizan en el análisis de :@0.287490:0.166897:0.907652:0.166897:0.907652:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costos, ingresos y ganancias. En la arquitectura, para el diseño y análisis de puentes y :@0.287490:0.183493:0.907634:0.183493:0.907634:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
edificios.:@0.287490:0.200089:0.350734:0.200089:0.350734:0.183700:0.287490:0.183700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función cuadrática definida como  ( ) = :@0.296992:0.231020:0.613505:0.231020:0.613505:0.214631:0.296992:0.214631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.573904:0.231020:0.590600:0.231020:0.590600:0.215627:0.573904:0.215627:0.000000:0.000000:0.000000
ℝ   ℝ:@0.613035:0.231234:0.661332:0.231234:0.661332:0.215229:0.613035:0.215229:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.628681:0.230329:0.645216:0.230329:0.645216:0.214927:0.628681:0.214927:0.000000
 es de la forma  ( ) = :@0.660692:0.231020:0.806473:0.231020:0.806473:0.214631:0.660692:0.214631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.766872:0.231020:0.783567:0.231020:0.783567:0.215627:0.766872:0.215627:0.000000:0.000000:0.000000
ax :@0.805994:0.231020:0.825675:0.231020:0.825675:0.215627:0.805994:0.215627:0.000000:0.000000:0.000000
2 + b  +  , :@0.825269:0.231020:0.898169:0.231020:0.898169:0.214631:0.825269:0.214631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.858255:0.231020:0.891111:0.231020:0.891111:0.215627:0.858255:0.215627:0.000000:0.000000:0.000000
con  ,   y   números reales y   ≠ 0. Su gráfica es una parábola. :@0.296986:0.247617:0.742695:0.247617:0.742695:0.231228:0.296986:0.231228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.328184:0.247617:0.376519:0.247617:0.376519:0.232223:0.328184:0.232223:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.505126:0.247617:0.514395:0.247617:0.514395:0.232223:0.505126:0.232223:0.000000
Se tiene un rectángulo cuyo largo es 7 :@0.287495:0.280049:0.577344:0.280049:0.577344:0.263660:0.287495:0.263660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.578468:0.280049:0.600673:0.280049:0.600673:0.264656:0.578468:0.264656:0.000000:0.000000
 mayor que su ancho. ¿Cuál es la función :@0.600581:0.280049:0.907772:0.280049:0.907772:0.263660:0.600581:0.263660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que relaciona el área con el ancho del rectángulo?:@0.287495:0.296645:0.651110:0.296645:0.651110:0.280256:0.287495:0.280256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área del rectángulo es:        ( ) = (  + 7)   ;  ( ) =  ² + 7:@0.287495:0.320364:0.701673:0.320364:0.701673:0.303975:0.287495:0.303975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A x:@0.497163:0.320364:0.519405:0.320364:0.519405:0.304971:0.497163:0.304971:0.000000:0.000000:0.000000
x:@0.548226:0.320364:0.555689:0.320364:0.555689:0.304971:0.548226:0.304971:0.000000
x A x:@0.592655:0.320364:0.633638:0.320364:0.633638:0.304971:0.592655:0.304971:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.657576:0.320364:0.668356:0.320364:0.668356:0.304971:0.657576:0.304971:0.000000:0.000000
x:@0.701673:0.320364:0.709136:0.320364:0.709136:0.304971:0.701673:0.304971:0.000000
Con base en esta función, calculamos lo siguiente::@0.287495:0.344083:0.655471:0.344083:0.655471:0.327694:0.287495:0.327694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área del rectángulo cuando   = 0, 1, 2, 3, 4 y 5 :@0.287495:0.367802:0.639664:0.367802:0.639664:0.351413:0.287495:0.351413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.510007:0.367802:0.517470:0.367802:0.517470:0.352409:0.510007:0.352409:0.000000
cm:@0.639664:0.367802:0.661962:0.367802:0.661962:0.352409:0.639664:0.352409:0.000000:0.000000
.:@0.661962:0.367802:0.665168:0.367802:0.665168:0.351413:0.661962:0.351413:0.000000
Elaboramos una tabla. :@0.287495:0.391521:0.453694:0.391521:0.453694:0.375132:0.287495:0.375132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x cm:@0.460390:0.420756:0.497765:0.420756:0.497765:0.405392:0.460390:0.405392:0.000000:0.000000:0.000000:0.000000
 (:@0.468297:0.420756:0.476808:0.420756:0.476808:0.405392:0.468297:0.405392:0.000000:0.000000
):@0.497765:0.420756:0.502807:0.420756:0.502807:0.405392:0.497765:0.405392:0.000000
0:@0.533648:0.420756:0.541824:0.420756:0.541824:0.405857:0.533648:0.405857:0.000000
1:@0.571643:0.420756:0.579818:0.420756:0.579818:0.405857:0.571643:0.405857:0.000000
2:@0.609637:0.420756:0.617812:0.420756:0.617812:0.405857:0.609637:0.405857:0.000000
3:@0.647632:0.420756:0.655807:0.420756:0.655807:0.405857:0.647632:0.405857:0.000000
4:@0.685626:0.420756:0.693801:0.420756:0.693801:0.405857:0.685626:0.405857:0.000000
5:@0.723621:0.420756:0.731796:0.420756:0.731796:0.405857:0.723621:0.405857:0.000000
A cm:@0.456587:0.445701:0.496039:0.445701:0.496039:0.430336:0.456587:0.430336:0.000000:0.000000:0.000000:0.000000
 (:@0.466572:0.445701:0.475082:0.445701:0.475082:0.430336:0.466572:0.430336:0.000000:0.000000
2):@0.496039:0.445701:0.506660:0.445701:0.506660:0.430336:0.496039:0.430336:0.000000:0.000000
0:@0.533682:0.445701:0.541857:0.445701:0.541857:0.430802:0.533682:0.430802:0.000000
8:@0.571676:0.445701:0.579852:0.445701:0.579852:0.430802:0.571676:0.430802:0.000000
18:@0.605583:0.445701:0.621934:0.445701:0.621934:0.430802:0.605583:0.430802:0.000000:0.000000
30:@0.643661:0.445701:0.659844:0.445701:0.659844:0.430802:0.643661:0.430802:0.000000:0.000000
44:@0.681572:0.445701:0.697922:0.445701:0.697922:0.430802:0.681572:0.430802:0.000000:0.000000
60:@0.719567:0.445701:0.735917:0.445701:0.735917:0.430802:0.719567:0.430802:0.000000:0.000000
Graficamos los puntos antes encontrados y respondemos.:@0.287495:0.472661:0.712006:0.472661:0.712006:0.456272:0.287495:0.456272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Para qué valor de   el área es 30 :@0.287495:0.496380:0.530222:0.496380:0.530222:0.479991:0.287495:0.479991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.425039:0.496380:0.432502:0.496380:0.432502:0.480987:0.425039:0.480987:0.000000
cm:@0.530222:0.496380:0.552520:0.496380:0.552520:0.480987:0.530222:0.480987:0.000000:0.000000
2?                Para   = 3 :@0.552520:0.496380:0.703827:0.496380:0.703827:0.479991:0.552520:0.479991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.664282:0.496380:0.671745:0.496380:0.671745:0.480987:0.664282:0.480987:0.000000
cm:@0.703827:0.496380:0.726125:0.496380:0.726125:0.480987:0.703827:0.480987:0.000000:0.000000
¿Para qué valor de   el área es de 60 :@0.287495:0.520099:0.553220:0.520099:0.553220:0.503710:0.287495:0.503710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.425039:0.520099:0.432502:0.520099:0.432502:0.504706:0.425039:0.504706:0.000000
cm:@0.553220:0.520099:0.575518:0.520099:0.575518:0.504706:0.553220:0.504706:0.000000:0.000000
2?        Para   = 5 :@0.575518:0.520099:0.694542:0.520099:0.694542:0.503710:0.575518:0.503710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.654996:0.520099:0.662459:0.520099:0.662459:0.504706:0.654996:0.504706:0.000000
cm:@0.694542:0.520099:0.716839:0.520099:0.716839:0.504706:0.694542:0.504706:0.000000:0.000000
La ecuación que representa el área del rectángulo en función de  es una función :@0.287495:0.543818:0.907585:0.543818:0.907585:0.527429:0.287495:0.527429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.774667:0.543818:0.786719:0.543818:0.786719:0.528425:0.774667:0.528425:0.000000:0.000000
cuadrática. A( ) =   + 7 en donde:   = 1,   = 7 y   = 0.:@0.287495:0.560414:0.688727:0.560431:0.688727:0.544042:0.287495:0.544025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.386728:0.560414:0.394191:0.560414:0.394191:0.545021:0.386728:0.545021:0.000000
x:@0.418129:0.560414:0.425592:0.560414:0.425592:0.545021:0.418129:0.545021:0.000000
2:@0.425590:0.554383:0.430833:0.554383:0.430833:0.544829:0.425590:0.544829:0.000000
x; :@0.458879:0.560431:0.472995:0.560431:0.472995:0.545037:0.458879:0.545037:0.000000:0.000000:0.000000
a:@0.551754:0.560431:0.561024:0.560431:0.561024:0.545037:0.551754:0.545037:0.000000
b:@0.596312:0.560431:0.605582:0.560431:0.605582:0.545037:0.596312:0.545037:0.000000
c:@0.649808:0.560431:0.657474:0.560431:0.657474:0.545037:0.649808:0.545037:0.000000
Representación gráfica de la función cuadrática y características:@0.287494:0.596670:0.839732:0.596670:0.839732:0.578233:0.287494:0.578233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función cuadrática:@0.286308:0.079033:0.617322:0.079033:0.617322:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Arcos del Milenio, :@0.152786:0.276522:0.262307:0.276522:0.262307:0.263113:0.152786:0.263113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en Guadalajara:@0.169597:0.290101:0.259005:0.290101:0.259005:0.276692:0.169597:0.276692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.092854:0.412664:0.100318:0.412664:0.100318:0.397271:0.092854:0.397271:0.000000
x:@0.249342:0.362543:0.256805:0.362543:0.256805:0.347150:0.249342:0.347150:0.000000
7 :@0.171872:0.411474:0.184900:0.411474:0.184900:0.395085:0.171872:0.395085:0.000000:0.000000
cm:@0.184900:0.411474:0.207198:0.411474:0.207198:0.396081:0.184900:0.396081:0.000000:0.000000
A cm:@0.102875:0.457303:0.125749:0.457303:0.125749:0.448739:0.102875:0.448739:0.000000:0.000000:0.000000:0.000000
 (:@0.108380:0.457303:0.113343:0.457303:0.113343:0.448184:0.108380:0.448184:0.000000:0.000000
2:@0.125749:0.453938:0.128666:0.453938:0.128666:0.448622:0.125749:0.448622:0.000000
):@0.128666:0.457303:0.131383:0.457303:0.131383:0.448184:0.128666:0.448184:0.000000
x cm:@0.230827:0.556369:0.252348:0.556369:0.252348:0.547805:0.230827:0.547805:0.000000:0.000000:0.000000:0.000000
 (:@0.234979:0.556369:0.239941:0.556369:0.239941:0.547251:0.234979:0.547251:0.000000:0.000000
):@0.252348:0.556369:0.255065:0.556369:0.255065:0.547251:0.252348:0.547251:0.000000
0:@0.119685:0.555985:0.124063:0.555985:0.124063:0.548006:0.119685:0.548006:0.000000
60:@0.113490:0.509109:0.122247:0.509109:0.122247:0.501130:0.113490:0.501130:0.000000:0.000000
80:@0.113490:0.495474:0.122247:0.495474:0.122247:0.487495:0.113490:0.487495:0.000000:0.000000
100:@0.109112:0.481839:0.122247:0.481839:0.122247:0.473860:0.109112:0.473860:0.000000:0.000000:0.000000
120:@0.109112:0.468204:0.122247:0.468204:0.122247:0.460225:0.109112:0.460225:0.000000:0.000000:0.000000
40:@0.113490:0.522741:0.122247:0.522741:0.122247:0.514763:0.113490:0.514763:0.000000:0.000000
20:@0.113490:0.536374:0.122247:0.536374:0.122247:0.528396:0.113490:0.528396:0.000000:0.000000
2:@0.142723:0.555985:0.147101:0.555985:0.147101:0.548006:0.142723:0.548006:0.000000
–2:@0.103428:0.555985:0.112292:0.555985:0.112292:0.548006:0.103428:0.548006:0.000000:0.000000
4:@0.160890:0.555985:0.165268:0.555985:0.165268:0.548006:0.160890:0.548006:0.000000
6:@0.179057:0.555985:0.183435:0.555985:0.183435:0.548006:0.179057:0.548006:0.000000
8:@0.197224:0.555985:0.201602:0.555985:0.201602:0.548006:0.197224:0.548006:0.000000
10:@0.213202:0.555985:0.221958:0.555985:0.221958:0.548006:0.213202:0.548006:0.000000:0.000000
Gráfica:@0.190792:0.624098:0.241988:0.624098:0.241988:0.608734:0.190792:0.608734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Características:@0.579079:0.624098:0.684234:0.624098:0.684234:0.608734:0.579079:0.608734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.185251:0.646011:0.201704:0.646011:0.201704:0.634461:0.185251:0.634461:0.000000:0.000000:0.000000:0.000000
0:@0.201792:0.776790:0.207790:0.776790:0.207790:0.765859:0.201792:0.765859:0.000000
x:@0.318270:0.772466:0.323869:0.772466:0.323869:0.760916:0.318270:0.760916:0.000000
x:@0.123208:0.691255:0.128185:0.691255:0.128185:0.680989:0.123208:0.680989:0.000000
 < 0:@0.128185:0.691255:0.146891:0.691255:0.146891:0.680325:0.128185:0.680325:0.000000:0.000000:0.000000:0.000000
Curva:@0.120762:0.700479:0.149337:0.700479:0.149337:0.689549:0.120762:0.689549:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.106125:0.709704:0.163986:0.709704:0.163986:0.698773:0.106125:0.698773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.123208:0.799205:0.128185:0.799205:0.128185:0.788938:0.123208:0.788938:0.000000
 < 0:@0.128185:0.799205:0.146891:0.799205:0.146891:0.788274:0.128185:0.788274:0.000000:0.000000:0.000000:0.000000
Curva:@0.120762:0.808429:0.149337:0.808429:0.149337:0.797498:0.120762:0.797498:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.112442:0.817653:0.157657:0.817653:0.157657:0.806722:0.112442:0.806722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.280584:0.691255:0.286766:0.691255:0.286766:0.680989:0.280584:0.680989:0.000000
 > 0:@0.286766:0.691255:0.305472:0.691255:0.305472:0.680325:0.286766:0.680325:0.000000:0.000000:0.000000:0.000000
Cóncava :@0.271932:0.700479:0.316804:0.700479:0.316804:0.689549:0.271932:0.689549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.264816:0.709704:0.321239:0.709704:0.321239:0.698773:0.264816:0.698773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.280584:0.799205:0.286766:0.799205:0.286766:0.788938:0.280584:0.788938:0.000000
 < 0:@0.286766:0.799205:0.305472:0.799205:0.305472:0.788274:0.286766:0.788274:0.000000:0.000000:0.000000:0.000000
Cóncava :@0.271932:0.808429:0.316804:0.808429:0.316804:0.797498:0.271932:0.797498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo:@0.265222:0.817653:0.320823:0.817653:0.320823:0.806722:0.265222:0.806722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.283104:0.652828:0.297729:0.652828:0.297729:0.642562:0.283104:0.642562:0.000000:0.000000:0.000000:0.000000
 = :@0.297729:0.652828:0.310437:0.652828:0.310437:0.641897:0.297729:0.641897:0.000000:0.000000:0.000000
ax:@0.310437:0.652828:0.321597:0.652828:0.321597:0.642562:0.310437:0.642562:0.000000:0.000000
2:@0.321612:0.648793:0.325108:0.648793:0.325108:0.642420:0.321612:0.642420:0.000000
f(x):@0.282148:0.893714:0.296773:0.893714:0.296773:0.883447:0.282148:0.883447:0.000000:0.000000:0.000000:0.000000
 = –:@0.296773:0.893714:0.315405:0.893714:0.315405:0.882783:0.296773:0.882783:0.000000:0.000000:0.000000:0.000000
ax:@0.315405:0.893714:0.326565:0.893714:0.326565:0.883447:0.315405:0.883447:0.000000:0.000000
2:@0.326555:0.889680:0.330052:0.889680:0.330052:0.883308:0.326555:0.883308:0.000000
x:@0.281193:0.739555:0.286171:0.739555:0.286171:0.729288:0.281193:0.729288:0.000000
 > 0:@0.286171:0.739555:0.304876:0.739555:0.304876:0.728624:0.286171:0.728624:0.000000:0.000000:0.000000:0.000000
Curva :@0.278747:0.748779:0.310014:0.748779:0.310014:0.737848:0.278747:0.737848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.270427:0.758003:0.315643:0.758003:0.315643:0.747072:0.270427:0.747072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.287265:0.844045:0.292242:0.844045:0.292242:0.833778:0.287265:0.833778:0.000000
 > 0:@0.292242:0.844045:0.310948:0.844045:0.310948:0.833114:0.292242:0.833114:0.000000:0.000000:0.000000:0.000000
Curva:@0.284819:0.853269:0.313394:0.853269:0.313394:0.842338:0.284819:0.842338:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.270181:0.862493:0.328044:0.862493:0.328044:0.851562:0.270181:0.851562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Eje de simetría:@0.227665:0.709056:0.227665:0.648953:0.211280:0.648953:0.211280:0.709056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vértice:@0.115314:0.750105:0.153171:0.750105:0.153171:0.737808:0.115314:0.737808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.183944:0.777799:0.194569:0.777799:0.194569:0.768235:0.183944:0.768235:0.000000:0.000000
1:@0.230175:0.777799:0.235423:0.777799:0.235423:0.768235:0.230175:0.768235:0.000000
2:@0.251952:0.777799:0.257200:0.777799:0.257200:0.768235:0.251952:0.768235:0.000000
3:@0.273729:0.777799:0.278977:0.777799:0.278977:0.768235:0.273729:0.768235:0.000000
4:@0.295506:0.777799:0.300754:0.777799:0.300754:0.768235:0.295506:0.768235:0.000000
–2:@0.162178:0.777799:0.172803:0.777799:0.172803:0.768235:0.162178:0.768235:0.000000:0.000000
–3:@0.140401:0.777799:0.151026:0.777799:0.151026:0.768235:0.140401:0.768235:0.000000:0.000000
–4:@0.118624:0.777799:0.129249:0.777799:0.129249:0.768235:0.118624:0.768235:0.000000:0.000000
1:@0.200656:0.754853:0.205904:0.754853:0.205904:0.745288:0.200656:0.745288:0.000000
–1:@0.195279:0.787533:0.205904:0.787533:0.205904:0.777968:0.195279:0.777968:0.000000:0.000000
–2:@0.195279:0.803877:0.205904:0.803877:0.205904:0.794312:0.195279:0.794312:0.000000:0.000000
–3:@0.195279:0.820221:0.205904:0.820221:0.205904:0.810656:0.195279:0.810656:0.000000:0.000000
–4:@0.195279:0.836565:0.205904:0.836565:0.205904:0.827000:0.195279:0.827000:0.000000:0.000000
–5:@0.195279:0.852909:0.205904:0.852909:0.205904:0.843344:0.195279:0.843344:0.000000:0.000000
–6:@0.195279:0.869253:0.205904:0.869253:0.205904:0.859688:0.195279:0.859688:0.000000:0.000000
–7:@0.195279:0.885597:0.205904:0.885597:0.205904:0.876033:0.195279:0.876033:0.000000:0.000000
2:@0.200656:0.738517:0.205904:0.738517:0.205904:0.728952:0.200656:0.728952:0.000000
3:@0.200656:0.722173:0.205904:0.722173:0.205904:0.712609:0.200656:0.712609:0.000000
4:@0.200656:0.705829:0.205904:0.705829:0.205904:0.696264:0.200656:0.696264:0.000000
5:@0.200656:0.689485:0.205904:0.689485:0.205904:0.679920:0.200656:0.679920:0.000000
6:@0.200656:0.673141:0.205904:0.673141:0.205904:0.663576:0.200656:0.663576:0.000000
7:@0.200656:0.656797:0.205904:0.656797:0.205904:0.647232:0.200656:0.647232:0.000000
Concavidad: esta orientación depende del signo del coeficiente  . :@0.366614:0.650167:0.798859:0.650167:0.798859:0.635268:0.366614:0.635268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.736270:0.650167:0.739939:0.650167:0.739939:0.635268:0.736270:0.635268:0.000000
a:@0.784015:0.650167:0.792441:0.650167:0.792441:0.636173:0.784015:0.636173:0.000000
•   Si   > 0 (positivo), la parábola es cóncava hacia arriba y tiene un mínimo que :@0.366614:0.665254:0.900290:0.665254:0.900290:0.650355:0.366614:0.650355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.403335:0.665254:0.411761:0.665254:0.411761:0.651261:0.403335:0.651261:0.000000
es el vértice. Es decreciente en (–∞; 0] y creciente en [0; ∞).:@0.388392:0.680342:0.777696:0.680342:0.777696:0.665443:0.388392:0.665443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•   Si   < 0 (negativo), la parábola es cóncava hacia abajo y tiene un máximo que :@0.366614:0.695430:0.900362:0.695430:0.900362:0.680531:0.366614:0.680531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.402866:0.695430:0.411292:0.695430:0.411292:0.681436:0.402866:0.681436:0.000000
es el vértice. Es creciente en (–∞; 0] y decreciente en [0; ∞).:@0.388392:0.710517:0.777696:0.710517:0.777696:0.695618:0.388392:0.695618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cortes de la parábola con los ejes coordenados:@0.366614:0.725605:0.704220:0.725605:0.704220:0.710241:0.366614:0.710241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: son los puntos donde la :@0.704220:0.725605:0.874757:0.725605:0.874757:0.710706:0.704220:0.710706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función es cero. Para hallar el corte con el eje  , se tiene :@0.366614:0.740692:0.737475:0.740692:0.737475:0.725793:0.366614:0.725793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.668488:0.740692:0.675273:0.740692:0.675273:0.726699:0.668488:0.726699:0.000000
f x:@0.366614:0.755780:0.382110:0.755780:0.382110:0.741786:0.366614:0.741786:0.000000:0.000000:0.000000
( ) = 0 y se resuelve la ecuación :@0.370886:0.755780:0.583204:0.755780:0.583204:0.740881:0.370886:0.740881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax :@0.583204:0.755780:0.601430:0.755780:0.601430:0.741786:0.583204:0.741786:0.000000:0.000000:0.000000
2 +   +  = 0.:@0.601430:0.755780:0.690655:0.755780:0.690655:0.740881:0.601430:0.740881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.623543:0.755780:0.638604:0.755780:0.638604:0.741786:0.623543:0.741786:0.000000:0.000000
c :@0.655928:0.755780:0.665912:0.755780:0.665912:0.741786:0.655928:0.741786:0.000000:0.000000
El corte con el eje   es (0,  ), cuando  = 0.:@0.366614:0.770868:0.642995:0.770868:0.642995:0.755969:0.366614:0.755969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.488102:0.770868:0.494904:0.770868:0.494904:0.756874:0.488102:0.756874:0.000000
c:@0.535813:0.770868:0.542782:0.770868:0.542782:0.756874:0.535813:0.756874:0.000000
 x:@0.604782:0.770868:0.614583:0.770868:0.614583:0.756874:0.604782:0.756874:0.000000:0.000000
Eje de simetría:@0.366614:0.785955:0.472439:0.785955:0.472439:0.770591:0.366614:0.770591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: es la recta que divide simétricamente a la parábola; está dado :@0.472439:0.785955:0.891981:0.785955:0.891981:0.771056:0.472439:0.771056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la ecuación :@0.366614:0.809215:0.472841:0.809215:0.472841:0.794316:0.366614:0.794316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=−:@0.487211:0.809417:0.508705:0.809417:0.508705:0.795401:0.487211:0.795401:0.000000:0.000000
x:@0.476514:0.808807:0.483230:0.808807:0.483230:0.794953:0.476514:0.794953:0.000000
b:@0.515670:0.800741:0.524013:0.800741:0.524013:0.786887:0.515670:0.786887:0.000000
a:@0.519814:0.818248:0.528157:0.818248:0.528157:0.804394:0.519814:0.804394:0.000000
2:@0.511572:0.818248:0.519665:0.818248:0.519665:0.803498:0.511572:0.803498:0.000000
.:@0.533149:0.809210:0.536064:0.809210:0.536064:0.794311:0.533149:0.794311:0.000000
Vértice ( ): es el punto de corte del eje de simetría con la parábola. Tiene como :@0.366614:0.831427:0.894324:0.831427:0.894324:0.816528:0.366614:0.816528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.420590:0.831427:0.428882:0.831427:0.428882:0.817433:0.420590:0.817433:0.000000
coordenadas: :@0.366614:0.854146:0.460042:0.854146:0.460042:0.839247:0.366614:0.839247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.463334:0.854982:0.471543:0.854982:0.471543:0.841128:0.463334:0.841128:0.000000
b:@0.499283:0.846991:0.507625:0.846991:0.507625:0.833137:0.499283:0.833137:0.000000
2:@0.495186:0.864392:0.503280:0.864392:0.503280:0.850289:0.495186:0.850289:0.000000
a:@0.503429:0.864392:0.511771:0.864392:0.511771:0.850538:0.503429:0.850538:0.000000
,:@0.514502:0.854982:0.517388:0.854982:0.517388:0.840880:0.514502:0.840880:0.000000
f:@0.518416:0.854982:0.522645:0.854982:0.522645:0.841128:0.518416:0.841128:0.000000
b:@0.550922:0.846991:0.559264:0.846991:0.559264:0.833137:0.550922:0.833137:0.000000
2:@0.546825:0.864392:0.554919:0.864392:0.554919:0.850289:0.546825:0.850289:0.000000
a:@0.555068:0.864392:0.563410:0.864392:0.563410:0.850538:0.555068:0.850538:0.000000
. :@0.583674:0.854142:0.590258:0.854142:0.590258:0.839243:0.583674:0.839243:0.000000:0.000000
La función  ( ) = :@0.366614:0.884318:0.477448:0.884318:0.477448:0.869419:0.366614:0.869419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.440190:0.884318:0.455686:0.884318:0.455686:0.870324:0.440190:0.870324:0.000000:0.000000:0.000000
ax :@0.477448:0.884318:0.495674:0.884318:0.495674:0.870324:0.477448:0.870324:0.000000:0.000000:0.000000
2 tiene:       Dominio: :@0.495674:0.884318:0.631685:0.884318:0.631685:0.869419:0.495674:0.869419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.631685:0.884846:0.643780:0.884846:0.643780:0.868840:0.631685:0.868840:0.000000
Recorrido: :@0.366614:0.902033:0.437893:0.902033:0.437893:0.887134:0.366614:0.887134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.440879:0.903105:0.310798:0.903105:0.310798:0.886357:0.440879:0.886357:0.000000
:@0.584264:0.903105:0.454183:0.903105:0.454183:0.886357:0.584264:0.886357:0.000000
{}:@0.481346:0.904783:0.507310:0.904783:0.507310:0.884383:0.481346:0.884383:0.000000:0.000000
{}:@0.624731:0.904783:0.650696:0.904783:0.650696:0.884383:0.624731:0.884383:0.000000:0.000000
∪:@0.465431:0.902912:0.479583:0.902912:0.479583:0.887339:0.465431:0.887339:0.000000
>:@0.543435:0.902912:0.553552:0.902912:0.553552:0.887339:0.543435:0.887339:0.000000
∪:@0.608816:0.902912:0.622969:0.902912:0.622969:0.887339:0.608816:0.887339:0.000000
+:@0.455170:0.894966:0.461033:0.894966:0.461033:0.885941:0.455170:0.885941:0.000000
−:@0.598566:0.894966:0.604429:0.894966:0.604429:0.885941:0.598566:0.885941:0.000000
si a:@0.515217:0.902234:0.540095:0.902234:0.540095:0.886841:0.515217:0.886841:0.000000:0.000000:0.000000:0.000000
ó:@0.570187:0.902234:0.579401:0.902234:0.579401:0.886841:0.570187:0.886841:0.000000
0,:@0.489732:0.902234:0.511569:0.902234:0.511569:0.885845:0.489732:0.885845:0.000000:0.000000
0:@0.556477:0.902234:0.565470:0.902234:0.565470:0.885845:0.556477:0.885845:0.000000
0 ,sia <0:@0.633117:0.902234:0.710428:0.902234:0.710428:0.885845:0.633117:0.885845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.070380:0.164970:0.070380:0.159863:0.058298:0.159863:0.058298:0.164970:0.000000
Shutterstock:@0.070380:0.159863:0.070380:0.122145:0.058469:0.122145:0.058469:0.159863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.57. :@0.290067:0.954959:0.338404:0.954959:0.338404:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir y reconocer una función cuadrática de manera algebraica y gráfica, determinando sus características: dominio, :@0.339366:0.954959:0.903644:0.954959:0.903644:0.944530:0.339366:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.355549:0.954959:0.358117:0.954959:0.358117:0.944530:0.355549:0.944530:0.000000
 :@0.680100:0.954959:0.682668:0.954959:0.682668:0.944530:0.680100:0.944530:0.000000
recorrido, monotonía, máximos, mínimos y paridad.:@0.290067:0.965521:0.530120:0.965521:0.530120:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000