Return to Assignments Exponential functions and graphs

### Assignment 7

Draw the graph of the function:

What is the formula of the asymptote?

### Solution

First we look at the function:

This is a function with a shifted graph of:

We can sketch the graph of this function quite easily. Square its graph, shift it to the right and divide the result by . When we mirror this function in the -axis we get the final result. The -axis, i.e. is the asymptote of the graph.