Question

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

Answer 1

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):

$y = {x}^{2} \\ y = {(x + p)}^{2}$

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