What is the vertex of the quadratic function?

х) = (х - 8) (х - 4)

А. (-6,4)

В. (6-4)

с. (-4,8)

D. (4,8)

The vertex is (6, - 4)

Step-by-step explanation:

f (x) = (х - 8) (х - 4)

First find the zeros

0 = (х - 8) (х - 4)

0 = x-8 0 = x-4

x=8 x=4

The zeros are x=8 and x=4

The vertex is 1/2 way between the zeros

(8+4) / 2 = 12/2 = 6

To find the y value, substitute 6 into the function

f (6) = (6-8) (6-4)

= - 2 (2) = - 4

The vertex is (6, - 4)