8. Polar Coordinates and Complex Numbers

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r^2=-25\cos 2\theta$

Graph $r=3\cos 4\theta$

Graph $r=2-2\cos \theta$.

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=3+2\cos \theta$

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=4\sin 2\theta$

Graph $r^2=9\sin 2\theta$

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=1-\sin \theta$

Graph $r=1+2\sin \theta$