please help me understand how to graph this and what each part changes on the graph. thank you!

SOLUTION
The plot the graph, we have the interval
[tex]0From the equation given, we have [tex]r=1+2\cos \theta[/tex]We have
[tex]\begin{gathered} 2\cos \theta\text{ changes as the angles changes } \\ \text{while } \\ 1\text{ remains unchange} \end{gathered}[/tex]Hence, the graph becomes