Using the enclosed Java applet, explore graphically the effect of transforming the given graph with translations, vertical and horizontal stretchings and reflections.

This exploration is about using one of five transformations to construct new functions from a given function. We start with the blue graph which is the graph of some function ( Why?) and which is contained in the other window which was created when you pressed the View Java Applet button. You can manipulate this graph in the five ways which are listed in the box beneath the graph. For more information on these manipulations, click on one of the following items: