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Given the vertex and a point, write the equation of a parabola in vertex and standard form

2,324 views · Published 7 October 2015 · 3:40 · Indexed 20 September 2026

Channel: Brian McLogan · 2015 · Education

👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and hence three points are needed to solve/obtain the equation of a parabola. 

Given three points on a parabola, we use the standard form of a quadratic equation to set up a system of three linear equations which we solve to obtain: a, b, and c and hence, the equation of the parabola.

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✅Write the Equation of a Quadratic 
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrG8CyzgvnIStEs5Cws4CR9
✅Write the Equation of a Quadratic Given Vertex and a Point
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpzhZuJi5HLbjMJUVI7aqzc
✅Write the Equation of a Quadratic  Given Three Points
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Given the vertex and a point, write the equation of a parabola in vertex and standard form

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