The graph of the function g(x) is a transformation of the parent function f(x)=x2 .

Which equation describes the function g?




g(x)=(x−3)2

g(x)=x2−3

​ g(x)=x2+3 ​

​ g(x)=(x+3)2 ​

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

Respuesta :

​ D) g(x)=(x+3)2 ​

The graph has remained intact, only skipped over 3 to The left, which, in standard form is:
[tex] {(x - h)}^{2} [/tex]
where h is the spot where it transforms to,
thus moving to (-3, 0) from (0, 0), thereby making the new vertex at x = -3, therefore h = -3, and resultantly:
[tex] {(x - - 3)}^{2} = {(x + 3)}^{2} \\ y = {(x + 3)}^{2} [/tex]
Your answer is option D