Standard Equation of a Parabola Formula

A parabola is a curve where any point is at an equal distance from the focus, and the directrix. Use our Parabola formula to find the vertex form and standard form. Just substitute the values of X and Y coordinates in this Standard equation of a parabola formula and do the operations demanded by the formula to determine the result. This Parabola equation solver formula page provides you the individual formula of vertex form and standard form calculations.

Formula:

a = √((h - x)2 + (k - y)2)
Vertex Form : (x - h)2 = 4a (y - k)
Standard Form : y = (x2 / (4a)) - (hx / 2a) + (k + (h2 / (4a)))


Where,
h = Parabola Vertex x-coordinate
k = Parabola Vertex y-coordinate
x = Parabola Focus x-coordinate
y = Parabola Focus y-coordinate

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This Standard equation of a parabola formula requires basic arithmetic, square root, and square multiplication operations to perform calculations.


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