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.

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