# How do you graph basic polar equations?

##### 1 Answer

You consider a function of the type:

So you give values of the angle

To graph polar functions you have to find points that lie at a distance

Take for example the polar function:

This function describes points that for every angle

Graphically:

The result is a circle of radius

Now, the only complication is when **NEGATIVE** ...how do I plot this?

We use a trick....we take the positive and flip it about the origin!!!!!!

Take for example the polar function:

This function describes points that for every angle

We use our trick!

Graphically:

Every point of the old graph flipped about the origin!!!!

It is a circle...again!!!!

Now try by yourself with:

Build a table of

There are more complicated (and graphically beautiful) polar functions such as limacons, cardioids, roses, lemniscates, etc…try them!!!