Original equation of a derivative graph

[unf0r5ak3n]

Homework Statement

Find the f(x) when given f'(x)

Homework Equations

the x intercepts are at (-8,0) (-2,0) (6,0)
the y-intercepts is at (0,-6)
and the derivative at zero appear to be at (-6,6) and (3,-10)

The Attempt at a Solution

I found the general equation by factoring the x-intercepts, x^3+4x^2-44x-96, but I am not sure how to incorporate the y-intercept

 

[hunt_mat]

What is f'(x) if you've been given it?

 

[unf0r5ak3n]

were given f'(x) as a graph I'm assuming we have to find the equation of that function then find the anti-derivative