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Predict the change from the parent function f(x)=x2 for each function. (Explain how it willlook different or transformed) Also include where the vertex will be for each.

Predict the change from the parent function fxx2 for each function Explain how it willlook different or transformed Also include where the vertex will be for e class=

Respuesta :

The aprent function is:

[tex]f(x)=x^2[/tex]

and the new function is:

[tex]j(x)=-(x+5)^2+2[/tex]

This is related as follows:

The new function is relfected about the x axis, then it is translated 5 units to the left and 2 units up.

This is shown in the following graph:

where the red graph is f(x) and the blue one is j(x).

Now, the vertex of the original function is the origin; whereas for the second function is in the point (-5,2).

Ver imagen AutumnB104357

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