The vertex of y=(x-4)(x+2)

vertex = (1, - 9 )

Step-by-step explanation:

The vertex is located on the axis of symmetry

The axis of symmetry is at the midpoint of the zeros

Find the zeros by letting y = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 4 = 0 ⇒ x = 4

Then equation of axis of symmetry/ x- coordinate of vertex is

x = = = 1

Substitute x = 1 into the equation for corresponding value of y

y = (1 - 4)(1 + 2) = (- 3)(3) = - 9

vertex = (1. - 9 )

-2 is the right