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Course: College Algebra
Topic: Polynomial and Rational Functions
Subtopic: Quadratic Functions

Overview

This material should be almost all review from an intermediate algebra class. See Intermediate Algebra - Lesson Notes #12.1 for objectives and terminology.

The only topic that may be new here is applications of quadratic functions. Concentrate on finding the vertex of a parabola both algebraically and graphically. Be able to use a grapher to electronically find the vertex of a parabola (see below) and its axis-intercept points. Be able to use information obtained from the parabola's vertex to solve quadratic optimization application problems

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 3.1.1 Algebraically convert a quadratic function to general or standard form using complete-the-square method as necessary
• 3.1.2 Electronically find the x-intercept point(s), y-intercept point, and vertex of a parabolic function
• 3.1.3 Given an application of a quadratic function, Interpret the points found in 3.0.1
• 3.1.4 Use quadratic function to solve application problems including optimization analysis

Terminology

Define: quadratic function, extrema point, minimum point, maximum point, minimum value, maximum value

Supplemental Resources

You must be able to use a calculator (handheld or software) to find the vertex of a parabolic function. If you have a handheld graphing calculator then these sites may help:

Please READ the following articles. There is (or will be) a thread on the class DB where you can discuss them.

Supplemental Resources (optional)

If you need supplemental tutorial videos with examples relevant to this section go to James Sousa's MathIsPower4U and search for topics:
"Graphing Quadratic Functions"
"Determining Equations of Quadratic Functions"
"Applications of Quadratic Equations"