Finding a Quadratic Equation from Three Coordinates.

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Presentation transcript:

Finding a Quadratic Equation from Three Coordinates

Suppose the graph of a quadratic function passes through the points (1,0), (2,5), and (3,12). Algebraically find the quadratic equation. 2. Substitute each Point into the Equation: 1. Use the Standard Quadratic Form: 3. Simplify the Equations: y x

Finding a Quadratic Equation from Three Coordinates Solve the system: 5. Solve the new system 6. Solve for the 3 rd Variable 7. Subsititue into the Standard Form: + 4. Use Elimination to write a 2-Variable System Eliminate the “c” first!