8.4 Assignment - Graphs of Polar Equations

Identify the name of the polar graph:

• lemniscate

• limacon

• cardioid

• circle centered at the pole

Identify the name of the polar graph:

• lemniscate

• rose curve

• cardioid

• sine curve

Identify the name of the polar graph:

• lemniscate

• rose curve

• cardioid

• limacon

Identify the name of the polar graph, given by the equation  $r=6+6\cos\theta$ .

• limacon

• cardioid

• rose curve

• lemniscate

Identify the name of the polar graph, given by the equation  $r=7\cos\theta$ .

• lemniscate

• rose curve

• circle not centered at the pole

• circle centered at the pole

The polar graph is symmetric about ______.

• the polar axis

• the line $\theta=\frac{\pi}{2}$

• the pole

The polar graph is symmetric about _____.

• the polar axis

• the line $\theta=\frac{\pi}{2}$

• the pole

Which of the following graphs is symmetric about the line  $\theta=\frac{\pi}{2}$ ?

• 
• 
• 
• 

Which of the following polar equations will produce a graph that is symmetric about only the polar axis?

• $r=5\cos\left(2\theta\right)$

• $r=3+3\sin\theta$

• $r=3$

• $r=-4\cos\theta$

Determine the maximum r-value of the graph.

• 4

• 5

• 72

• 90