Answer:
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 = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = (1 - 4)(1 + 2) = (- 3)(3) = - 9
vertex = (1. - 9 )
