Question

What are the coordinates the vertex for the quadratic function below? f(x)=-5(x-10)^2-8

A) (8,10)
B) (-10,8)
C) (-8,10)
D) (10,-8)

Answer 1

D) (10,-8)

Explanation:

The vertex form of the equation of a parabola is ...

f(x) = a(x -h)^2 +k . . . . . . for vertex (h, k) and scale factor "a"

Matching this pattern to the given equation, we see that ...

a = -5, h = 10, k = -8

so the vertex is (h, k) = (10, -8) . . . . . matches choice D