# Horizontal Stretching and Compression of Graphs

 This applet helps you explore the changes that occur to the graph of a function when its independent variable x is multiplied by a positive constant a (horizontal stretching or compression). The functions to be explored are of the form f(a*x) where f(x) is any of the three functions:  f(x)=||x|-2| (a "W" shaped graph)  f(x)=x2 or  f(x)=x3 If needed, Free graph paper is available. Your browser is completely ignoring the tag! TUTORIAL objective:investigate the effects of the multiplication of the independent variable x of a function by a positive constant a. 1 - Click on the button above "click here to start" and MAXIMIZE the window obtained. 2 - Use the slider to set constant a to values smaller than 1 and observe the effect on the graph. Do these values of a compress or stretch the graph? 3 - Use the slider to set constant a to values larger than 1 and observe the effect on the graph. Do these values of a compress or stretch the graph? Note: You have the choice (left panel, top) of any of the three functions f(x)=||x|-2| (this has a "W" shaped graph), f(x)=x2 or f(x)=x3. More pages and topics related to graph transormation (scaling, shifting) can be found in this site.