Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.3 New Functions from Old Functions - 1.3 Exercises: 2

Answer

a) y is $f(x)$ shifted 8 units upwards. b) y is $f(x)$ shifted 8 units to the left. c) y is $f(x)$ virtecally stretched by 8. d) y is $f(x)$ horizontally shrunk by $\frac{1}{8}$. e) y is $f(x)$ reflected over the x-axis and then shifted downwards by 1. f) y is $f(x)$ horizontally shrunk by $\frac{1}{8}$ and then virtecally stretched by 8.

Work Step by Step

a) y is $f(x)$ shifted 8 units upwards. b) y is $f(x)$ shifted 8 units to the left. c) y is $f(x)$ vertically stretched by 8. d) y is $f(x)$ horizontally shrunk by $\frac{1}{8}$. e) y is $f(x)$ reflected over the x-axis and then shifted downwards by 1. f) y is $f(x)$ horizontally shrunk by $\frac{1}{8}$ and then virtecally stretched by 8.
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