Three Points Parabola Calculator

This calculator finds the equation of a parabola with vertical axis given three points on the graph of the parabola.
This calculator is based on the on solving a system of three equations in three variables described in Find Equation of Parabola Passing Through three Points - Step by Step Solver.


How to Use the Calculator?

1 - Enter the x and y coordinates of three points A, B and C and press "enter". Two equations are displayed: an exact one (top one) where the coefficients are in fractional forms an the second with approximated coefficients whose number of decimal number of decimal places may be chosen.
When at least two points are on a vertical line (x coordinate of A equals the x coordinate of B for example), no equation is found for a parabola with vertical axis. Numbers may be entered in decimal (example: 1.02) or fractional (example: 4/5) forms.

A = ( , )
B = ( , )
C = ( , )
Decimal Places =
$y=$
$y=$


More References and Links to Parabola

Parabola Calculator Given its Vertex and a Point
Three Points Circle Calculator.
Points of Intersection of Two Circles - Calculator.
More Maths Calculators and Solvers.