Question

Which is the graph of f(x) = (x + 3)(x – 2)? On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 0.75, negative 6), and goes through (2, 0). On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (0.5, negative 6. 2), and goes through (3, 0). On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 0.5, 6. 2), and goes through (2, 0). On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0.5, 6. 2), and goes through (3, 0).

Answer 1

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)