Answer:
smaller x = -2
larger x = 4
vertex: (1, -9)
Step-by-step explanation:
To find the zeros of the function, set each value in parenthesis to 0 separately.
Smaller x:
(x+2) = 0
x = -2
Larger x:
(x-4) = 0
x = 4
To find the vertex of the parabola you need to find the x value between the zeros.
[tex]\frac{4 + (-2)}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Plug 1 in for x in the equation.
f(x) = ((1) + 2)((1) - 4)
f(x) = (3)(-3)
f(x) = -9
When x = 1, f(x) = -9, so the vertex of the parabola is at (1, -9).
