Transformational Graphing in the Real World: Building Bridges

What do you get when you cross piecewise functions with transformations?  An engaging lesson plan! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...

Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...

Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...

Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function. 

Though Sal expects viewers to be "reasonably familiar" with square roots, he takes this opportunity to explain some of the notation and how to graph square root functions. He uses a graphing calculator from my.hrw.com/math06 to...

It is transformational! With the beginning lesson on transformations, pupils learn about vertical and horizontal translations. Scholars see how to graph important points to show the translations and then to write the transformed graph in...

This video provides a formal definition of odd and even functions and an intuitive sense of their differences. Sal examines the graphs of both types of functions to show their reflection properties. Functions that are neither odd nor...

Geometric transformations in algebra ... what? Given four transformations, the narrator explains how each affect the graph of the original function. The transformations involve translations and reflections, both horizontally and...

In this mini-lesson, we will learn about transformations of functions, transformations of exponential functions, and transformations of quadratic functions. Check out the interactive simulations to know more about the lesson and try your...

Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...