This calculator will find either the equation of the parabola from the given ... latus rectum, focus, vertex, directrix, focal parameter, x-intercepts, y-intercepts of ... Assume that the equation of the parabola is $$$y=a x^{2} + b x + c$$$. ... Since the parabola passes through the point $$$\left(2, 9\right)$$$, then $$$9=4 a + 2 b + ...