Here is another problem from me.

I tried solving this, and I am thinking that I somehow need to turn this into an equation with some known points and than solve for a,b and c as a simultaneous equation. However, whenever I try to do this I get lost.

The curve y = ax^{2}+ bx + c passes through the point (1; 2) and is tangent to the line

y = x at the origin. Find a, b and c

Thanks to everyone who reads this