Finding the equation of a parabola

[theBEAST]

Homework Statement

Alright so I wasn't sure if I should put this in the Calculus section, but just in case that I would need derivatives to solve this I decided I would put this thread here.

http://img99.imageshack.us/img99/9351/capturepf.png

The Attempt at a Solution

I tried finding the relationship with trigonometry but it didn't work because the parabola is curved and does not extend as a straight line like a triangle. Could anyone give me a hint on how to start this question?

 

[azizlwl]

y=ax²+bx+c

You have 2 points where the tangents are given and y intercept.

 

[theBEAST]

y=ax²+bx+c

You have 2 points where the tangents are given and y intercept.

Thanks!