  # Vertical Stretching and Compression(scaling) of Graphs

This applet helps you explore, interactively, and understand the stretching and compression of the graph of a function when this function is multiplied by a constant a.

 The function to be analyzed is of the form a*f(x). In this tutorial you may use f(x) = ||x|-2| (a "W" shaped graph), f(x) = x2 or f(x) = x3. TUTORIAL How does the multiplication of a function by a positive constant affect the graph of this function ? 1-Use the scrollbar to set the constant a to different values and observe the effect on the graph. What is the range of values of the constant that create a vertical compression? What is the range of values of the constant that create a vertical stretching? What values reflect the graph on the x axis? Explain analytically. 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. Related topics Explore the horizontal shift of the graph of a function. Horizontal Shift of Graphs 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 and Compression Explore interactively the vertical shifting of the graph of a function. Vertical Shifting/translation of Graphs