# Math Help - Finding the equation of parabola

1. ## Finding the equation of parabola

Area (S) is 2. How do I find the equation of this parabola? ;\

I guess first of all I should start at this:

$\int_{0}^1 ?? dx=2$ but it does not seem to help me at all...

2. If the function whose graph is this parabola is $f(x)=ax^2+bx+c$, you have three unknowns: a, b and c. You also have three equations: $\int_0^1f(x)\,dx=2$, f(0) = 0 and f(1) = 0.

3. In other words, we know that x = 0 and x = 1 are roots, so x and (x - 1) are factors. So your quadratic is of the form ax(x - 1)...