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Interpreting Quadratic Functions in Factored Form

Interpreting Quadratic Functions in Factored Form 1.13 - Solution

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We want to write the equation of the quadratic function that passes through the points and Note that the coordinate of two of the points is Therefore, we know that and are the intercepts of the parabola.

Consider the factored form of a quadratic function. In this form, and are the intercepts. Therefore, we know that, for our equation, it is and 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.