Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.7 Graphing Techniques - 2.7 Exercises - Page 272: 14

Answer

(a) to G. (b) to D. (c) to E. (d) to B. (e) to C. (f) to A. (g) to H. (h) to F. (i) to I.

Work Step by Step

(a) to G because we need shifts of $y=\sqrt x$ curve: 3 units left. (b) to D because we need shifts of $y=\sqrt x$ curve: 3 units down. (c) to E because we need shifts of $y=\sqrt x$ curve: 3 units up. (d) to B because we need $y=\sqrt x$ curve stretched vertically by a factor of 3. (e) to C because we need $y=\sqrt x$ curve reflected across the x-axis. (f) to A because we need shifts of $y=\sqrt x$ curve: 3 units right. (g) to H because we need shifts of $y=\sqrt x$ curve: 3 units right then 2 units up. (h) to F because we need shifts of $y=\sqrt x$ curve: 3 units left then 2 units up. (i) to I because we need shifts of $y=\sqrt x$ curve: 3 units right then 2 units down.
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