Let's investigate

let's look at the effect **n** has on the
graph.

This
is the case where **a** = 1, **b** = 1, and **n** = 2

This
is the case where **a** = 1, **b** = 1, and **n** = 3.

When **n**>1, the graph is called an
"**n**-leaf rose." The graph is so dubbed because
it resembles a flower with a certain number of "petals"
equal to the number **n**. This will also be the case for negative
values of **n**, because of the nature of the cosine function.

Click **here**
to proceed to a discussion of the effects of **n**, when **n**
is a fraction.

Click **here**
to proceed to a discussion of the effects of **n**, when **n**
= 1.

Below are links for the discussions of the
effects of the variables **a** and **b** on the graph.

Click **here**
for a discussion of the effect **a** has on the graph.

Click **here**
for a discussion of the graph of

Click **here**
to proceed to a discussion of the effect **b** has on the graph.

An extension to this investigation would be
to explore the effects of **a**, **b**, and **n**, when
the cosine function is replaced by the sine function.

Click **here**
to return to Julie's main page.