Answer:
On a coordinate plane, a parabola opens up
It goes through (negative 3, 0), has a vertex at (negative 0.5, negative 6.25), and goes through (2, 0).
Step-by-step explanation:
f(x) = (x + 3)(x – 2)
We know that parabola opens up since the x^2 term is be positive
it has zeros at x=-3 and x=2
x+3 =0 and x-2 =0 from the zero product property
The vertex is halfway between the zeros
(-3+2)/2 = -1/2
x=-1/2
f(-1/2) = (-1/2+3) (-1/2-2) = 2.5 * -2.5 =-6.25
The vertex is (-1/2, -6.25)