Precalculus (6th Edition) Blitzer

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

Chapter 9 - Mid-Chapter Check Point - Page 1000: 12

Answer

See graph and explanations.

Work Step by Step

Step 1. Graph the equation as shown in the figure. Step 2. Based on the given equation, we have $p=\frac{12}{4}=3$. The negative sign in the equation indicates that the directrix is above the focus. Step 3. As the vertex is at $(2,-1)$, the focus is at $(2, -1-3)$ or $(2,-4)$ and the directrix is $y=-1+3=2$ as shown in the figure.
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