Course: College Algebra
Topic: Functions and Graphs
Subtopic: Transformations of Functions


Using the common and special graphs learned in the last lesson, we now transform them via reflections, stretches, compressions, and translations (both vertical and horizontal). Pay particular attention to how changes in the equation (changes in: coefficients, powers, and arithmetic operations) affect its graph. Look for patterns and make connections. Take advantage of the technology available to quickly graph the transformed equations and make comparisons.


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


Terms you should be able to define: reflection, stretch, compression, translation

Mini-Lectures and Examples

STUDY: Functions - Properties, Common Shapes, and Transformations

Supplementary Resources

If you need information about transformations, then Transformations of Graphs of Functions, Prof. Jim Michelena, Modesto Jr. College provides lots of information about all types of transformations and includes detailed examples.

rev. 2020-10-10