In this activity, students will explore the family of exponential functions of the form f (x) = c ·b^x+a and be able to describe the effect of each parameter on the graph of y = f (x).

This lesson involves the family of exponential functions of the form f (x) = c ·b^x+a.

• As a result students will:
  • Manipulate parameters, and observe the effect on the graph of the corresponding exponential function.
  • Conjecture and draw conclusions about the effect of each parameter on the graph of the exponential function.
  • Compare horizontal translation and vertical dilations and manipulate equations to demonstrate they are the same.
  • Match specific exponential functions with their corresponding graphs.