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The graph of the function g(x) is a transformation of the parent function f(x)=x^2 .

Which equation describes the function g?




g(x)=(x−3)^2

g(x)=x^2−3

​ g(x)=(x+3)^2 ​

​ g(x)=x^2+3 ​

The graph of the function gx is a transformation of the parent function fxx2 Which equation describes the function g gxx32 gxx23 gxx32 gxx23 class=

Respuesta :

MarkV
Hi there! The answer is​ g(x)=(x+3)^2.

The function g(x) is translated 3 to the left.

A translation to the left will change the function the following way (p represents the translation to the left):

[tex]y = {x}^{2} \\ y = {(x + p)}^{2} [/tex]

Therefore the answer is g(x)=(x+3)^2.

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