by bradp » Mon Feb 13, 2012 2:23 pm
Given three points (x1,y1), (x2,y2), and (x3,y3) on the parabola y=ax^2+bx+c, all three points must satisfy the parabola's equation:
y1 = ax1^2+bx1+c
y2=ax2^2+bx2+c
y3=ax3^2+bx3+c
we know the 'y's and 'x's, so it's a system of three equations with three unknowns. Solve for a,b,c