Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Appendix D - Graphing Techniques - Exercises - Page 447: 41

Answer

See Graph I

Work Step by Step

For $y = x^2 - 1$, when $x$ = 2, $y$ = 3; $x$ = 1, $y$ = 0; $x$ = 0, $y$ = -1; $x$ = -1, $y$ = 0; $x$ = -2, $y$ = 3 As seen, $y = x^2 - 1$ is the vertical translation of $y = x^2$ down by 1 unit also. Domain = $(-\infty, \infty)$ Range = $[-1, \infty)$
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