Graphing Polar Curves

d.tran103

1. The problem statement, all variables and given/known data
Hi, my teacher gave me this homework assignment and I'm having trouble graphing this one graph. I don't understand her notes that well and am having trouble getting the equation for this graph. See attached for the graph. The graph is a inner loop that is turned.


2. Relevant equations
The only notes my teacher gave me for this problem are: "A < B = inner loop, r = 1 + 2sin(theta).


3. The attempt at a solution
I think the equation is in the form, r = a + bsin(theta). But this gives me a graph with the inner loop coming from the bottom. My inner loop comes from the left. I've tried a couple of things to but can't figure out the pattern. Does anybody know a good website for learning these? I'm taking this class online and my teacher never responds to me. I was only given the above for notes. Thanks!

Attached Thumbnails

 

d.tran103

Nevermind, I got it! r = 2+5cos(theta)