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: 13

Answer

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

Work Step by Step

(a) to B because $f(x)+2$ means shift the curve up 2 units. (b) to A because $f(x)-2$ means shift the curve down 2 units. (c) to G because $x+2$ means shift the curve to the left 2 units. (d) to C because $x-2$ means shift the curve to the right 2 units. (e) to F because $2f(x)$ means vertical stretching by a factor of 2. (f) to D because $-f(x)$ mean a reflection across the x-axis. (g) to H because we need shifts of 2 units right then 1 unit up. (h) to E because we need shifts of 2 units left then 1 unit up. (i) to I because we need shifts of 2 units left then 1 unit down.
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