Question

What is the value of x-coordinate of the vertex of the function shown below? F(x)=(x+2)(x-6)

Answer 1

The vertex is -2

Explanation:

For solution please see the attached image

Answer 2

x=2

Explanation:

(x+2)(x-6)= y

0 = x+2 0 = x-6

The zeros of the functions are at -2 and 6 using the zero product property

We know a parabola is symmetric so the vertex is 1/2 way between the zeros

(-2+6)/2 = 4/2 =2

The x coordinate of the vertex is at 2