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Introduction to Quadratic Functions Objective: Define, identify, and graph quadratic functions. Multiply binomials to produce a quadratic expression.

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Quadratic Functions A quadratic function is any function that can be written in the form where. It is defined by a quadratic expression, which is an expression of the form, where.

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Example 1

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You Try Let. Show that g represents a quadratic function. Identify a, b, and c when the function is written in the form.

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You Try Let. Show that g represents a quadratic function. Identify a, b, and c when the function is written in the form. F O I L

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Example 2

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Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex.

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Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex. Maximum.

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Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex. Maximum.

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Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex.

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Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex. Minimum.

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Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex. Minimum.

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Example 3

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Homework Page 278 13-45 odd

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5-1: MODELING DATA WITH QUADRATIC FUNCTIONS Essential Question: Describe the shape of the graph of a quadratic function and basic properties of the graph.

5-1: MODELING DATA WITH QUADRATIC FUNCTIONS Essential Question: Describe the shape of the graph of a quadratic function and basic properties of the graph.

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