Learning Exercise

Interpreting Transformations of Functions

This assignment was created by Nicole McGlashan of Huron High School, Huron, South Dakota. It describes a self-directed activity in which students discover the nature of the transformation of a function's graph that occurs when the function itself is transformed.. Included in the assignement are links to the National Library of Virtual Manipulatives for Interactive Mathematics and Larry Green's interactive website.

Course: Algebra II , Advanced Algebra , Pre-Calculus , Trigonometry

Material:: Grapher
Date last modified:: November 29, 2004
Created by:: Kurt Cogswell
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Grapher

Grapher allows the user to enter a function of a single variable with up to three parameters, then vary the parameter... see more

Material Type:: Simulation
Author:: National Library of Virtual Manipulatives

Exercise

Disciplines

Mathematics and Statistics / Mathematics / Pre-Calculus Mathematics / Algebra

Audience

Requirements

To successfully complete this lesson, a student should be familiar with: Algebraic manipulation of equations; Solving radical equations; Solving rational equations; Solving absolute value equations. Graphs of polynomials, radical, rational, and absolute functions

Topics

Transformations of functions and the related transformation of function graphs.

Type of Task

Learning Objectives

After having completed this lesson the student should be able to determine the initial graph of a function and be able to determine the transformations of its graph that result from transformations of the function.