# How do you graph #r=2sin3theta#?

##### 1 Answer

Start with

#### Explanation:

First it's good to remember the basic graph of

graph{sinx [-6.25, 6.25, -2.2, 2.2]}

The graph spans

Now let's make the needed adjustments.

First there's the 2. It is going to take the result of the sin function and increase it by a factor of 2. So the maximum and minimum on the y-axis will go from 1 to 2. That will look like this:

graph{2sinx [-6.25, 6.25, -2.2, 2.2]}

And now the

graph{sin(3x) [-6.25, 6.25, -2.2, 2.2]}

Put it all together and we get:

graph{2sin(3x) [-6.25, 6.25, -2.2, 2.2]}