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

Step-by-step explanation:

is, in vertex form,

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

, choice D in your list.

D

Step-by-step explanation:

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

The y-intercept is -4.

- x² - 4

the first one, all those points on the line just make a strait line.