Transformation of Functions (Graphically) 1.2 2003/07/08 07:02:00 GMT-5 2003/07/26 12:18:55 GMT-5 Debbie Trahan debtrahan@aol.com Debbie Trahan debtrahan@aol.com Kyle Clarkson kclarks@rice.edu graphical transformations In this module students will apply transformations to the graph of a function.
The objective of this module is to apply tranformations to the graph of a function.
The graph of the function h x is shown in figure 1 . Transfer this graph to your paper. Use the graph of h x to help you answer parts a and b for each of the problems 1 - 8. a. Explain how the given transformation will change the graph of h x . b. Graph the transformation.
Answer parts a and b for the given transformation. h x 2 The transformation will translate the graph of h x 2 units to the right. (figure 2)
Answer parts a and b for the given transformation. h x 3 The transformation will translate the graph of h x 3 units down. (figure 3)
Answer parts a and b for the given transformation. h x The transformation will reflect the graph of h x over the x - axis. (figure 4)
Answer parts a and b for the given transformation. h x The transformation reflect the graph of h x over the y - axis. (figure 5)
Answer parts a and b for the given transformation. 2 h x The transformation will vertically stretch the graph of h x by a scale factor of 2. (figure 6)
Answer parts a and b for the given transformation. 1 2 h x The transformation will vertically compress the graph of h x by a scale factor of 1 2 . (figure 7)
Answer parts a and b for the given transformation. h 2 x The transformation will horizontally compress the graph of h x by a scale factor of 1 2 . (figure 8)
Answer parts a and b for the given transformation. h 1 3 x The transformation will horizontally stretch the graph of h x by a scale factor of 3. (figure 9)
Transformations of Functions Exploration Modules After you have completed this lesson you can continue to explore transformations of functions by choosing a module listed below. Go to Transformation of Functions Exploration Module Go to Transformation of Functions (Verbally) Module Go to Transformation of Functions using a Graphing Calculator Module