Question

F(x) = x^2. What is g(x)?

Answer 1

Explanation:

`f(x) =x^2` is, in vertex form,

`f(x)=(x-h)^2+k` where h and k, the vertex, is (0, 0). It is positive because it opens upwards.

g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is

`g(x)=-x^2-4`, choice D in your list.

Answer 2

D

Explanation:

The opposite side of function f(x) is g(x). So -x².

The y-intercept is -4.

- x² - 4