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.

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

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