Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 169: 71

Answer

$(a)$ See the Blue graph in the image above. $(b)$ See the Red graph in the image above. $(c)$ $c$ shifts the original graph either to the left-hand side or right-hand side by $c$ units.

Work Step by Step

We have a general form $x^3$ when $c=0$, that is the Black graph on the image above. $(a)$ See the Blue graph in the image above. Subtracting $c$ shifts the original graph by $c$ units to the right-hand side. $(b)$ See the Red graph in the image above. By addition, the original graph shifts to the left-hand side by $c$ units. $(c)$ $c$ shifts the original graph either to the left-hand side or right-hand side by $c$ units.
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