Dibuja la gráfica de las siguientes funciones en el mismo plano cartesiano: (y)=x2 vs (y−3)=x2 vs (y+2)=x2
Si comparamos con la gráfica de (y)=x2:
La gráfica de (y−3)=x2 se trasladó verticalmente ____ unidades hacia ___________.
La gráfica de (y+2)=x2 se trasladó verticalmente ____ unidades hacia ___________.
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Una traslación vertical se refiere al desplazamiento a lo largo del eje y (hacia arriba o hacia abajo) que se puede producir cuando a la gráfica de una función se le cambian los valores de y.
Si tienes una función original y=f(x).
Para producir una traslación vertical hacia arriba, la nueva función tendría que ser: y=f(x)+c. Donde el desplazamiento producido sería de "c" unidades hacia arriba.
Para producir una traslación vertical hacia abajo, la nueva función tendría que ser: y=f(x)−c. Donde el desplazamiento producido sería de "c" unidades hacia abajo.