Polar Graphs/Equations

Match the given polar equation with its corresponding graph.

 $r^2=9\cos2\theta$  

• rose

• lemniscate

• dimpled limacon

• cardioid

Match the given polar equation with its corresponding graph.

 $r=5\cos2\theta$  

• rose

• lemniscate

• dimpled limacon

• cardioid

Match the given polar equation with its corresponding graph.

 $r=2-3\cos\theta$  

• cardioid

• dimpled limacon

• inner loop limacon

• flat limacon

Match the given polar equation with its corresponding graph.

 $r=5+4\cos\theta$  

• dimpled limacon

• cardioid

• inner loop limacon
  

• flat limacon

Match the given polar equation with its corresponding graph.

 $r=-3-3\cos\theta$  

• dimpled limacon

• cardioid

• flat limacon

• inner loop limacon

Match the given polar equation with its corresponding graph.

 $r=-2$  

• Line passing through origin

• circle with center NOT at (0,0)

• spiral

• circle with center AT (0,0)

Match the given polar equation with its corresponding graph.

 $r\ =\ 2\theta$  

• lemniscate

• spiral

• flat limacon

• line

Match the given polar equation with its corresponding graph.

 $\theta=\frac{2\theta}{3}$  

• spiral

• limacon

• line passing through the origin

• cardioid

Rewrite the following from rectangular form into polar form.


y = - 4

•  $r=-\frac{4}{\cos\theta}$  

•  $r=-\frac{4}{\sin\theta}$  

•  $r=\frac{4}{\sin\theta}$  

•  $r=-4\theta$  

Rewrite the following polar equation into rectangular form.

 $r=\frac{4}{3\cos\theta+7\sin\theta}$  

•  $7x+3y\ =\ 4$  

•  $y=\frac{4}{7}x-\frac{3}{7}$  

•  $7x-3y\ =\ 4$  

•  $y=-\frac{3}{7}x+\frac{4}{7}$