Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.6 - Transformations of Functions - 2.6 Exercises: 8

Answer

Part a: To obtain the graph of f(x) - 1, you move graph f(x)=x, or y=x, down 1 point on your graph. Part b: To obtain the graph of f(x-2), you move the graph f(x)=x, or y=x to the right by 2.

Work Step by Step

Part a:To explain further, f(x) is symbolic to "y." That being said, y=x is the equation you want to follow, however, after graphing this function, you want to make a downward shift to complete the f(x) - 1 function. Part b: To explain further, f(x) is symbolic to "y." That being said, y=x is the equation you want to follow, however, after graphing this function, you want to shift to the right by 2 to complete the f(x-2) function.
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