Parabola Equation Solver Calculator

X Y
Vertex:
Focus:
Standard equation:
Vertex equation:

When the vertex of the parabola equation is (h, k) and the focus is (x1, y1), then the vertex equation of the parabola is:

(X-h)2 = 4a(Y-k); ( a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

Standard form of the parabola equation:

Y = (1/4a)X2 - (h/2a)X + (k + h2/4a); ( a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )