Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Section 3.2 - Polynomial Functions and Their Graphs - 3.2 Exercises - Page 267: 74

Answer

See Graph and explanation below

Work Step by Step

$P(x) = (x-c)^4$ c = -1, 0, 1, 2 The question asks to explain how the value of c affects the graph. As c increases, the graph is shifted more to the right. As c decreases, the graph is shifted more to the left. When c is negative, the graph is shifted c units to the left. When c is positive, the graph is shifted c units to the right.
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