Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.3 - The Parabola - Exercise Set - Page 997: 57

Answer

domain $[-4,\infty)$, range $(-\infty, \infty)$, not a function.
1585269330

Work Step by Step

Step 1. Rewrite the equation as $y^2+6y+9=x-5+9$ or $(y+3)^2=x+4$ We see that the parabola opens to the right with a vertex at $(-4,-3)$. Step 2. We can find the domain as $[-4,\infty)$ and range as $(-\infty, \infty)$ Step 3. The relation is not a function as it will fail a vertical line test.
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