Graph f (x) = - (x+1) (x-5)

This graph would look like an upside down parabola. The vertex would be at (2, 9) and the x intercepts would be at - 1 and 5.

Step-by-step explanation:

In order to find the x intercepts, we set each parenthesis equal to 0.

x + 1 = 0

x = - 1

x - 5 = 0

x = 5

To find the vertex, we simply average the two intercepts together to get the x value.

(-1 + 5) / 2 = 2

And now that we have an x value of 2, we plug into the equation to find the y value.

f (x) = - (x + 1) (x - 5)

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

f (x) = - (3) (-3)

f (x) = 9