Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises 1.2: 22

Answer

(a) $y=x^2+3$ (b) $y=x^2-5$

Work Step by Step

The graph in Position $(a)$ is the graph of $y=x^2$ shifted up 3 units. Hence, the equation for this graph is $y=x^2+3.$ Similarly, the graph in Position $(b)$ is the graph of $y=x^2$ shifted down 5 units. Hence, the equation for this graph is $y=x^2-5.$
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