Question

How do i graph the quadratic function f (x)=-(x-3)(x+1)

Answer 1

Answers:

It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)

Explanations:

Given

`f(x)=-(x-3)(x+1)`

Distribute the (-1) to (x-3)

`f(x)=(-x+3)(x+1)`

Now let's work the I. O. O. I.

Inside:

`(-x)(x)=-x^2`

Outside:

`(-x)(1)=-x`

Outside:

`(3)(x)=3x`

Inside:

`(3)(1)=3`

Add both the outsides (-x) and (3x) together

`-x+3x=2x`

Your new equations is now.

`f(x)=-x^2+2x-3`