﻿108:@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
Digital:@0.100339:0.094940:0.191821:0.094940:0.191821:0.068808:0.100339:0.068808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.757164:0.083902:0.800807:0.083902:0.800807:0.063651:0.757164:0.063651:0.000000:0.000000:0.000000
Participación:@0.726735:0.098360:0.831238:0.098360:0.831238:0.081459:0.726735:0.081459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.068294:0.800149:0.127350:0.800149:0.127350:0.778340:0.068294:0.778340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es GeoGebra?:@0.072610:0.160256:0.271987:0.160256:0.271987:0.138446:0.072610:0.138446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
GeoGebra es un :@0.071735:0.187509:0.199936:0.187509:0.199936:0.171120:0.071735:0.171120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
software:@0.202829:0.187509:0.263401:0.187509:0.263401:0.172116:0.202829:0.172116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 interactivo de matemática que reúne dinámicamente geometría, álgebra y cálculo.  :@0.263401:0.187509:0.906802:0.187509:0.906802:0.171120:0.263401:0.171120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lo puedes descargar del Internet, en la siguiente dirección:  :@0.071735:0.204105:0.510822:0.204105:0.510822:0.187716:0.071735:0.187716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt14:@0.510822:0.204105:0.624555:0.204105:0.624555:0.187467:0.510822:0.187467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Uso de GeoGebra para graficar la función cuadrática:@0.071735:0.380469:0.484673:0.380469:0.484673:0.363569:0.071735:0.363569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Puedes utilizar GeoGebra para graficar una función cuadrática y determinar sus características. Por ejemplo, vamos :@0.071735:0.404188:0.906879:0.404188:0.906879:0.387799:0.071735:0.387799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a graficar la función cuadrática  ( ) =  + 2 – 1.:@0.071735:0.420785:0.418218:0.420788:0.418218:0.404400:0.071735:0.404396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.299501:0.420785:0.318021:0.420785:0.318021:0.405392:0.299501:0.405392:0.000000:0.000000:0.000000
 x:@0.337922:0.420785:0.348703:0.420785:0.348703:0.405392:0.337922:0.405392:0.000000:0.000000
2:@0.348699:0.414741:0.353941:0.414741:0.353941:0.405186:0.348699:0.405186:0.000000
x :@0.381989:0.420788:0.392769:0.420788:0.392769:0.405395:0.381989:0.405395:0.000000:0.000000
Grafica las siguientes funciones cuadráticas. Determina el vértice y su eje de simetría.:@0.071741:0.823693:0.690551:0.823693:0.690551:0.807304:0.071741:0.807304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f( ) =  ^2+2 –1:@0.231430:0.748467:0.302472:0.748467:0.302472:0.738559:0.231430:0.738559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.237301:0.748467:0.241813:0.748467:0.241813:0.739161:0.237301:0.739161:0.000000
x:@0.256284:0.748467:0.260796:0.748467:0.260796:0.739161:0.256284:0.739161:0.000000
x :@0.284948:0.748467:0.291466:0.748467:0.291466:0.739161:0.284948:0.739161:0.000000:0.000000
1. :@0.091254:0.675492:0.108393:0.675492:0.108393:0.659436:0.091254:0.659436:0.000000:0.000000:0.000000
Ingresa en esta barra la :@0.109303:0.675492:0.273055:0.675492:0.273055:0.659922:0.109303:0.659922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función cuadrática::@0.109303:0.691258:0.242123:0.691258:0.242123:0.675689:0.109303:0.675689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  f( ) =  +2 –1:@0.091254:0.710415:0.206939:0.710410:0.206939:0.694840:0.091254:0.694845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.118529:0.710415:0.125619:0.710415:0.125619:0.695791:0.118529:0.695791:0.000000
x:@0.148360:0.710415:0.155450:0.710415:0.155450:0.695791:0.148360:0.695791:0.000000
2:@0.155445:0.704666:0.160425:0.704666:0.160425:0.695589:0.155445:0.695589:0.000000
x :@0.179402:0.710410:0.189643:0.710410:0.189643:0.695786:0.179402:0.695786:0.000000:0.000000
2.:@0.203134:0.588137:0.216649:0.588137:0.216649:0.572082:0.203134:0.572082:0.000000:0.000000
 En :@0.216649:0.588137:0.242558:0.588137:0.242558:0.572568:0.216649:0.572568:0.000000:0.000000:0.000000:0.000000
vista algebraica :@0.242558:0.588137:0.350116:0.588137:0.350116:0.573514:0.242558:0.573514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te :@0.350116:0.588137:0.367743:0.588137:0.367743:0.572568:0.350116:0.572568:0.000000:0.000000:0.000000
aparecerá la ecuación :@0.221183:0.603904:0.376481:0.603904:0.376481:0.588334:0.221183:0.588334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrática.:@0.221183:0.619670:0.296740:0.619670:0.296740:0.604101:0.221183:0.604101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.566054:0.515343:0.583193:0.515343:0.583193:0.499288:0.566054:0.499288:0.000000:0.000000:0.000000
En la :@0.584103:0.515343:0.620971:0.515343:0.620971:0.499774:0.584103:0.499774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
barra de entrada:@0.620971:0.515343:0.732241:0.515343:0.732241:0.500720:0.620971:0.500720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.732241:0.515343:0.736075:0.515343:0.736075:0.499774:0.732241:0.499774:0.000000
ingresa el eje de  :@0.584103:0.531110:0.704575:0.531110:0.704575:0.515540:0.584103:0.515540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simetría de la parábola.:@0.584099:0.546876:0.744999:0.546876:0.744999:0.531307:0.584099:0.531307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.566054:0.651452:0.579569:0.651452:0.579569:0.635397:0.566054:0.635397:0.000000:0.000000
 Selecciona :@0.579569:0.651452:0.662759:0.651452:0.662759:0.635883:0.579569:0.635883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto:@0.662759:0.651452:0.703321:0.651452:0.703321:0.636829:0.662759:0.636829:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.703321:0.651452:0.710982:0.651452:0.710982:0.635883:0.703321:0.635883:0.000000:0.000000
y haz clic en el vértice :@0.584099:0.667219:0.739308:0.667219:0.739308:0.651649:0.584099:0.651649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.620022:0.667219:0.623646:0.667219:0.623646:0.651163:0.620022:0.651163:0.000000
de la parábola.:@0.584099:0.682985:0.685846:0.682985:0.685846:0.667416:0.584099:0.667416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.073034:0.850995:0.097783:0.850995:0.097783:0.834095:0.073034:0.834095:0.000000:0.000000:0.000000:0.000000
f x:@0.101524:0.850995:0.120043:0.850995:0.120043:0.835602:0.101524:0.835602:0.000000:0.000000:0.000000
( ) =   – 6:@0.106960:0.850995:0.182967:0.850995:0.182967:0.834606:0.106960:0.834606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.143981:0.850995:0.151444:0.850995:0.151444:0.835602:0.143981:0.835602:0.000000
2:@0.151446:0.844948:0.156689:0.844948:0.156689:0.835393:0.151446:0.835393:0.000000
b)  :@0.498597:0.850995:0.524654:0.850995:0.524654:0.834095:0.498597:0.834095:0.000000:0.000000:0.000000:0.000000
f x:@0.527087:0.850995:0.545606:0.850995:0.545606:0.835602:0.527087:0.835602:0.000000:0.000000:0.000000
( ) =  – 4  + 3:@0.532523:0.850995:0.640004:0.850995:0.640004:0.834606:0.532523:0.834606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.569544:0.850995:0.577007:0.850995:0.577007:0.835602:0.569544:0.835602:0.000000
2:@0.577010:0.844948:0.582253:0.844948:0.582253:0.835393:0.577010:0.835393:0.000000
x:@0.604494:0.850995:0.611958:0.850995:0.611958:0.835602:0.604494:0.835602:0.000000
V (0, –6); eje   = 0 :@0.134767:0.875577:0.253190:0.875577:0.253190:0.860678:0.134767:0.860678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.217239:0.875577:0.224024:0.875577:0.224024:0.861583:0.217239:0.861583:0.000000
V (2, -1); eje   = 2:@0.558586:0.875577:0.669956:0.875577:0.669956:0.860678:0.558586:0.860678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.637674:0.875577:0.644459:0.875577:0.644459:0.861583:0.637674:0.861583:0.000000