Question

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

Answer 1

Answer:

Step-by-step 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

Answer:

D

Step-by-step explanation:

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

The y-intercept is -4.

- x² - 4