Question

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

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