Determining the quadratic equation given a vertex and a point

👉 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.

Organized Videos:
✅Write the Equation of a Quadratic
✅Write the Equation of a Quadratic Given Vertex and a Point
✅Write the Equation of a Quadratic Given Three Points

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#Equationofquadratics #quadratics #brianmclogan

[alyssachartrand]

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[brianmclogan]

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[andreshughes]

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[thehandsomenipple]

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[indigomorningx]

Just a correction, f(x)=ax2+bx+c is standard form and f(x)=a(x-h)^2+k is vertex form. Not the other way around. Otherwise, very helpful. :)

[brianmclogan]

it takes a time to understand things, don't worry. happy to help!

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[brianmclogan]

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