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) = x^{2} or f(x) = x^{3}.
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) = x^{2} or f(x) = x^{3}.
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