Question

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 ​

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.