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