**Assignment #11**
**Nicole Mosteller**
**EMAT 6680**

**Question #1:** This investigation into polar equations of the form
will be a collection of pictures that establish a pattern in the graphs of the polar equations
when the values of** a**, **b**, and **k** are altered.

This graph is what I consider the basic for of the polar equation.
By altering **a**, **b**, and **k**, we will see the changes that occur to this basic picture.

**Investigation:** How does the value of **k** effect the graph of the polar equation?

**Investigation:** How does the value of **b** effect the graph of the polar equation?

**Investigation:** How does the value of **a** effect the graph of the polar equation?

**Investigation:** What happens when the values of **a** and **b** are equal?

**Investigation:** How does this set of polar equations compare to the polar equations in the form
?

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