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Title of Lesson: Quadratic Functions Section: 2.1Pages: 92-102.

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Presentation on theme: "Title of Lesson: Quadratic Functions Section: 2.1Pages: 92-102."— Presentation transcript:

1 Title of Lesson: Quadratic Functions Section: 2.1Pages: 92-102

2 My Learning Goals 1. Be able to analyze the the components of a quadratic function. 2. Be able to convert between the different quadratic forms. 3. Use quadratically modeled functions to solve minimum/maximum problems.

3 Vocabulary/Formulas 1. Quadratic function definition: 2. Standard form of a quadratic function: 3. Axis of symmetry: the line in which all parabolas are symmetric to. 4. 5.

4 Prerequisite Skills with Practice 1.Complete the square.2. Solve for real numbers.

5 Notes Dissecting a quadratic functions in the form Vertex: Axis of symmetry: Concavity: x – intercept(s): (factoring or quadratic formula?) y – intercept:

6 Notes Dissecting a quadratic functions in the form Vertex: Axis of symmetry: Concavity: x – intercept(s): (factoring or quadratic formula?) y – intercept:

7 Notes Building the standard form of quadratic function. Vertex: Axis of symmetry: Concavity: x – intercept(s): (factoring or quadratic formula?) y – intercept:

8 Notes Building an equation based on a vertex and a point. Write the standard form of the equation of the parabola whose vertex is (1,2) and goes through the point (3,-6).

9 Notes Using properties of quadratics to solve problems. A baseball is hit point 3 feet above the ground at a 100 feet per second at a 45 degree angle with respect to the ground. The path of the baseball is modeled by the function where h is height in feet and t is time in seconds.

10 Homework Assignment: Pg. 99 (1-4) all (7-25) odd (29-33) odd (53-56) all 65,66


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