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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).

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wegnerkolmp2741o

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)

abbusaicharan02

f(x) = (x + 3)(x – 2)

We know that parabola opens up since the x^2 term is 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).

What is the equation of a parabola?

Parabola Equation

The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax. Some of the important terms below are helpful to understand the features and parts of a parabola.

What is a parabola in a graph?

A parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax2 + bx + c. The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

Learn more about parabola here:  https://brainly.com/question/4148030

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