Transformation (Movement) of Functions

In this section we are going to look at moving functions around. Specifically we will be looking at translations, stretching and shrinking, and reflections of functions. We will discuss six things that we can do to the basic function. Any of these actions could be combined. As you read through this section try the various functions on your calculator. If you have a TI calculator simply go to the y= screen and enter the functions. (Be certain to adjust your window so that the function is shown on the screen.)

Given a function f(x)


The figures shown below are designed to provide concrete examples of what has been discussed in the previous material. Hopefully they will help you visualize the various effects.