Title of Lesson:Quadratic Functions

Section: 2.1 Pages: 92-102

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.

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.

Prerequisite Skills with Practice

1. Complete the square. 2. Solve for real numbers.

Notes

Dissecting a quadratic functions in the form

Vertex:Axis of symmetry:Concavity:x – intercept(s): (factoring or quadratic formula?)y – intercept:

Notes

Dissecting a quadratic functions in the form

Vertex:Axis of symmetry:Concavity:x – intercept(s): (factoring or quadratic formula?)y – intercept:

Notes

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

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).

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.

Homework

Assignment:Pg. 99 (1-4) all (7-25) odd

(29-33) odd (53-56) all 65,66