Quadratic Functions and Modeling

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Presentation transcript:

Quadratic Functions and Modeling Honors Advanced Algebra II with Trigonometry Ms. Lee

Essential Stuff Essential Question Essential Vocabulary What is a quadratic function and how can you create a quadratic model given data? Essential Vocabulary Quadratic Function Quadratic, linear, and constant terms Quadratic model

Quadratic Functions Standard Form of a Quadratic Function f (x) = ax² + bx +c ax² : quadratic term bx : linear term c : constant term

Quadratic Functions Graph of a quadratic function is a parabola The axis of symmetry is the line that divides the parabola into two parts that are mirror images The vertex is the point at which the parabola intersects the axis of symmetry

Quadratic Models Given points on a quadratic function, we can find a model for the data by… Plugging in points and solving the resulting system of equations Calculating a quadratic regression equation on the calculator. Examples…

Homework: Homework 3.1