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Interpreting Quadratic Functions in Factored Form

Interpreting Quadratic Functions in Factored Form 1.15 - Solution

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We want to write the equation of the parabola that passes through the point and has intercepts and

To do so, we will use the factored form of a quadratic function. In this form, and are the intercepts. Therefore, we can partially write our equation. Since the parabola passes through the point we can substitute for and for in the above equation, and solve for
Solve for
Knowing that we can write the full equation of the parabola.