Answer
See graph and explanations.
Work Step by Step
Step 1. Rewrite the given equation as $r=\frac{\frac{12}{5}}{1-\frac{3}{5}cos\theta}$ and compare with one of the standard forms.
Step 2. We can identify $e=\frac{3}{5}, ep=\frac{12}{5}, p=4$; the conic is an ellipse with directrix $x=-4$
Step 3. Based on the standard plot, with test values, we can graph the equation as shown in the figure.
