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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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Presentation on theme: "Introduction to Quadratic Functions Objective: Define, identify, and graph quadratic functions. Multiply binomials to produce a quadratic expression."— Presentation transcript:

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

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8 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.

9 Example 1

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

12 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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15 Example 2

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

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

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

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

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

23 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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25 Example 3

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29 Homework Page 278 13-45 odd


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