To elaborate, a parabola is of the form P(x) = ax²+bx+c, and 3 points define a parabola (like how 2 points define a line).
You're given 3 points, say (x1, P(x1)), (x2, P(x2)), and (x3, P(x3)). We want to find the coefficients a, b, and the constant c that give us a parabola through the three...