College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.1: 39

Answer

the graph of g(x) is obtained by shifting the graph of f(x) UP by three units
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Work Step by Step

Build a table with three columns. In the first column, place values for x: $-2,-1,0,1,2$ as instructed. In the second column, calculate $f(-2),f(-1),f(0),f(1),f(2)$ Third column: calculate function values $g(-2),g(-1),g(0),g(1),g(2)$ Points that lie on the graph of f are (x, f(x)). Plot the five points from the table and join. (on the image : red) Points that lie on the graph of g are (x, g(x)). Plot the five points from the table and join. (on the image : blue) Looking at the blue graph (of g(x)) we see that the graph of g(x) is obtained by shifting the graph of f(x) UP by three units.
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