In this lesson on quadratic functions, students will learn about the algebraic form for a quadratic model and its parameters, including whether those parameters have any meaning in the context of the functional relationship. Though A, B, and C all serve a role in the quadratic form, B is really the only parameter that can be interpreted as linear, and A has no direct relationship to the rate of change. However, the sign of A can reveal important information about the minimum or maximum of the quadratic function. By using input/output pairs, students can find a unique parabola that fits their data and determine the corresponding parameters.
Be familiar with and recognize the algebraic form for a quadratic model, including the corresponding parameters and if those parameters have any meaning in the context of the functional relationship (e.g. does a parameter control the initial value, rate of change (shape), decreasing or increasing (flip), max/min, limiting values, etc.).
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