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


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


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


Terms you should be able to define: quadratic function, extrema point, minimum point, maximum point, minimum value, maximum value

Mini-Lectures and Examples

STUDY: Quadratic Functions - Parabolas and Optimization

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"

rev. 2020-10-10