Answer
See graph and explanations.
Work Step by Step
Step 1. Rewrite the given equation as $r=\frac{4}{1-2cos\theta}$ and compare with one of the standard forms.
Step 2. We can identify $e=2, ep=4, p=2$; the conic is a hyperbola with directrix $x=-2$
Step 3. Based on the standard plot, with test values, we can graph the equation as shown in the figure.
