Answer:
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
