Transformations of functions

Author:
Daryl Funk
Topic:
Functions
The graphs of and are plotted. Use the sliders or input boxes to change the values of parameters , and . Think about the effect each parameter has on the graph of the function. You can edit the function (just double-click on it). Experiment with different functions: say,
Understand the answers to the following questions:
  • What effect does d>0 have? What effect does d<0 have?
  • What effect does a>1 have? What effect does 0<a<1? What happens to the graph when a = -1?
  • What effect does c>0 have? c<0?
  • What effect does b>1 have? What effect does 0<b<1 have? What happens to the graph when b = -1?