Explore how changes to the equations of sine and cosine functions affect the graphs of the functions through transformations (stretches and shifts).

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

Good site that allows the student to interactively explore how changing coefficients will change the graph of a function.

A java applet that lets you manipulate the function f(x) = 2^x and see the effects on the graph.

Using both TI InterActive! and TI-Navigator, students become familiar with transforming the absolute value function y = A | x - B| + C.

Using TI-Interactive, students will discover how the variables of a, h, and k in the vertex form of a quadratic function affect the size, shape and location of the parabola. During the lesson students will write quadratic functions when...

Series of LearningCheck documents to assess student knowledge of quadratic transformations.

This section explores the many ways that logarithmic functions can be transformed, and how those transformations cause their graphs to be translated in different ways.

[Free Registration/Login may be required to access all resource tools.] How to alter graphs in polar coordinates by changing constants and/or functions.

Students can use as an assessment-discovery lesson after talking about reflections and transformations of functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values.

Hotmath provides eighteen practice problems dealing with relations, functions, and their graphs. Each of the practice problems include a step-by-step guide for solving their Algebraic problem.

This site provides everything you need to know about translating graphs. Plenty of examples and charts and very easy to understand.

Transformations of linear functions, with links between the symbolic and graphic forms, can be powerful tools to help students overcome conceptual hurdles in algebra.

An interactive simulation that teaches about functions, transformations, and ordered pairs while identifying patterns through art history. This simulation can either be downloaded or played online and includes handouts, lesson plans, and...

Explains what rational functions are and their features. Describes transformations of rational functions, discontinuities for different types, and gives examples of how to solve problems involving discontinuities. Also discusses the...

Given the graph of a function, determine if it's even, odd, or neither. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Generally, translation involves only moving the graph around. Squeezing or stretching a graph is more of a "transformation" of the graph. But these two topics are usually taught at the same time, and usually under the same name. Just be...

This App helps students improve graphing comprehension. They input functions, view visual diagrams of functions, and observe changes in the function as the parameters change.

Practice the concept of function scaling and the relationship between its algebraic and graphical representations.

This is a chapter from an Algebra textbook. It looks at exponential growth functions - graphing and analyzing them, predicting transformations, graphing and writing equations for combined transformations, and modeling with exponential...

In this lesson, young scholars will be able to identify parent functions of linear functions, absolute value functions, and quadratic functions. Students will be presented with functions and asked to graph them by first identifying the...

Lesson looks at the definition of an ecosystem, biogeochemical cycles, and factors responsible for the differences between ecosystems.

This lesson will present how to graph translations of the square root function from the parent function [f(x) = ?x]. It is 4 of 4 in the series titled "Translations of a Square Root Function Graph." Includes short quiz.