# Interactive Transformation of Logarithmic Graphs

- Author:
- L. Marizza A. Bailey, Tim Brzezinski

## The colored letters on the right hand side are called parameters. Slide the dots or type in numbers and see their effect on the graphs.

## Activity Directions:

The graphs above are inverses of each other.
The gray graph is the logarithmic graph, and is labeled as ,
The orange graph is the exponential function, and is labeled .
When I ask about the logarithmic or exponential function, it may be helpful to click the checkbox associated to the other function so you can see how the parameters affect each graph separately.
When you click on the checkbox, all objects associated with that graph will also appear/dissappear.
Answer the questions below.
1. Change the parameter,

*a*.- What is this number called?
- How does it change the graph of
*,*the logarithmic function? - How does it change the graph of
, the exponential function?

*k*- How does it change the graph of g(x), the logarithmic function?
- How does it change the graph of
, the exponential function?

*d*- How does it change the graph of g(x), the logarithmic function?
- How does it change the graph of
, the exponential function?

- Write down the functions in your notes
- Draw the graphs underneath in your notes
- Label the graphs, vertical and horizontal asymptotes, and points.