Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.1 Quadratic Functions and Models - 3.1 Execises - Page 313: 21

Answer

(a) red curve. (b) blue curve. (c) green curve. (d) See explanations.

Work Step by Step

(a) Graph $y=(x-2)^2$ as shown in the figure (red curve). (b) Graph $y=(x+1)^2$ as shown in the figure (blue curve). (c) Graph $y=(x+3)^2$ as shown in the figure (green curve). (d) Compared to the graph of $y=x^2$, (a) can be obtained by shifting $y=x^2$ 2 units right, (b) can be obtained by shifting $y=x^2$ 1 unit left, (c) can be obtained by shifting $y=x^2$ 3 units left.
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