Question

Which is the graph of f(x) = (x + 3)(x - 2)?

Answer 1

Answer:

Attached picture is the graph you need

Step-by-step explanation:

This is a quadratic equation, this is determined by doing the following: (x+3)*(x-2)=x2+x-6, the term x2 is the proof that this is a quadratic equation.

Its roots are located in x=-3 and x=2,

Meaning that the graph has the following points (-3,0) and (2,0), among others.

Answer 2

Answer:

Step-by-step explanation:

Sounds as tho' there were several answer choices.  Always share possible answer choices if they're mentioned in the problem.

If we set (x + 3)(x - 2) = 0 and solve for x, we get x = -3 and x = 2.  These are the x-intercepts.  

The vertex of this parabolic function is exactly halfway between -3 and 2, that is, at x = (-3+2)/2, or -3/2.

We need only calculate y for x = -3/2 to finish finding the vertex:

f(-3/2) = (-3/2 + 3)(-3/2 - 2) = (3/2)(-7/2), or y = -21/4.

The vertex of this graph is at (-3/2, -21/4).