Question

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 ​

Answer 1

Your answer is option D

Answer 2

​ D) g(x)=(x+3)2 ​

The graph has remained intact, only skipped over 3 to The left, which, in standard form is:

`{(x - h)}^(2)`
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:

`{(x - - 3)}^(2) = {(x + 3)}^(2) \\ y = {(x + 3)}^(2)`