# Finding the equation of parabola

• March 16th 2011, 10:33 AM
Ellla
Finding the equation of parabola
Area (S) is 2. How do I find the equation of this parabola? ;\

http://img846.imageshack.us/img846/3081/function.png

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...
• March 16th 2011, 11:03 AM
emakarov
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.
• March 16th 2011, 11:20 AM
TheChaz
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)...