Determining the values of a, b and c for quadratic function given some limits.

Hey, having some problems with this problem. I honestly have no idea how to go about solving it, which is why I came here.

Question:

Determine the real values of a, b, and c for the quadratic function f(x) = ax^2 + bx + c, a cannot equal 0, that satisfy the conditions: f(0) = 0, 'limit as x approaches 1' = 5, and 'limit as x approaches -2' = 8.

I know that these points are in the function, the y intercept is 0 (don't know how that helps), and it looks like there are no discontinuities in this function.

Any help is greatly appreciated!

- Steve