Question

Graph the function.

f(x)=-\dfrac{2}{3}(x +1)(x -5)f(x)=−
3
2
​
(x+1)(x−5)

Answer 1

Simplify

• y=-2/3(x+1)(x-5)
• y=-2/3(x(x-5)+x-5)
• y=-2/3(x²-5x+x-5)
• y=-2/3(x²-4x-5)

Graph attached

Answer 2

see below

Explanation:

f(x) = -2/3 (x+1) (x-5)

First find the zeros

0 = -2/3 (x+1) (x-5)

Using the zero product property

x+1 =0 x-5=0

x= -1 x = 5

Then find the y intercept

y = -2/3 (0+1)(0-5)

- 2/3 (1)(-5)

+10/3

We know that this is a parabola that opens downward