Question

The graphs below have the same shape. What is the equation of the graph of g(x)?

A. g(x)=x²-2
B. g(x) = (x + 2)²
C. g(x)=(x-2)^2
D. g(x)=x^2+2
​

Answer 1

B. g(x) = (x + 2)²

Explanation:

We got the graph of g by translating the graph of the parent function

f(x) = x² two units to the left

Therefore the equation of the graph of g is (x + 2)²