Question

The graph of the function g(x) is a transformation of the parent function f(x)=x2. Which equation describes the function g?
1. g(x)=(x−4)2
2.​g(x)=x2+4​
3.g(x)=x2−4
4.​g(x)=(x+4)2​

Answer 1

Answer:

g(x) = x^2 - 4   (Answer #3)

Step-by-step explanation:

The graph of the parent function f(x) = x^2 is a parabola with vertex at (0, 0).  That of g(x) is the same, except that the first graph has been translated down by 4 units.

When this happens, the original function f(x) = x^2 + 0 changes to

                                                                     g(x) = x^2 - 4   (Answer #3)