How to find the equation that goes through three points

👉 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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[Andrew-swcv]

hope this guy is still teaching, explains geometry concepts far better than mine

[ryn]

cheers, helped me get the last question of the hw. absolute unit

[youraveragedbdplayer]

He made the problem too easy and now I don’t understand mine because mine had a lot harder number then what his were

[alexisneroda]

could you do the same thing with a linear equation? like you would use y=mx+b instead of y=ax2+bx+c?

[Dahlia_Florence]

What if there are 2 values of c? Cause my problem is my points have 2 0x? (0, 7) (2, 0) (0, -1)