Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.2 - The Hyperbola - Exercise Set - Page 984: 96

Answer

See graph and explanation.

Work Step by Step

Step 1. Rewrite the equation as $y=(x^2+4x+4)-9=(x+2)^2-9$ Step 2. We can identify the vertex as $(-2,-9)$ and axis of symmetry as $x=-2$ Step 3. We can find x-intercepts as $x=-2\pm3$ or $x=-5, 1$ Step 4. We can find the y-intercept as $y=-5$ Step 5. We can graph the equation as shown in the figure.
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