Activity Overview
In this activity, students will explore the family of exponential functions of the form f (x) = c ·bx+a and be able to describe the effect of each parameter on the graph of y = f (x).
About the Lesson
This lesson involves the family of exponential functions of the form f (x) = c ·bx+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.