Problem 42840. Coefficients and vertex of a parabola given 3 points

Created by Roche de Guzman

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Given 3 points, each defined by x and y, compute the coefficients: [a,b,c] of a parabola with equation: y = ax^2 + bx + c passing through those points. Also solve for the location of its vertex: [xv,yv].

Example:

 Inputs:  D = [0 3]; E = [1 6]; F = [-1 2]
 Outputs: C = [1 2 3]; V = [-1 2]
 Hence, the quadratic equation is: y = x^2 +2x + 3, with vertex at (-1,2)

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Solution Stats

82 Solutions
12 Solvers

Last Solution submitted on Aug 13, 2019

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Problem Comments

2 Comments

2 Comments

Peng Liu on 29 Apr 2016

It would be better to add more test cases to reinforce the test suite.

Roche de Guzman on 1 May 2016

Thanks I just updated!

Solution Comments

Solution 886998

1 Comment

1 Comment

James on 6 May 2016

Using without the "round" fudge on the polyfit function should work, but gives errors on the order of 1e-14. Round only works because all the coefficients in your test suite are integers.

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