Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.6 - Conic Sections in Polar Coordinates - Exercise Set - Page 1031: 37


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Work Step by Step

Step 1. Examine the equation. We have $e=1, p=1$. It is a parabola with a vertex at the pole and a directrix as $y=1$ Step 2. The parabola opens downward and we can use test points to determine how fast it opens up. Step 3. Within $[0,2\pi)$, select some test points such as $\theta=0, \frac{\pi}{4}, \frac{\pi}{2}, \frac{3\pi}{4},\pi $ and calculate the $r$ values and place points on the graph. Step 4. With the known parabola shape and orientation, connect the test points to form the graph.
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