Title of Lesson: Quadratics

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By the end of this lesson, I will be able to answer the following questions…

1.Be able to analyze the the components of a quadratic function.

2. Use quadratically modeled functions to solve minimum/maximum problems.

Vocabulary

Quadratic function definition

Standard form of a quadraticfunction

Axis of symmetry: the line in whichall parabolas are symmetric to.

Concavity:

Prerequisite Skills with Practice

Solve for real numbers

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Dissecting a quadratic functions in the form

Vertex:

Axis of symmetry:

Concavity:

x – intercept(s): (factoring or quadratic formula?)

y – intercept:

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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).

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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 x horizontal distance

Homework: Page 99: (12-20) all (29-34) all

(53-57) all (65-70) all •