College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 247: 62

Answer

The graph of $y=x^{2}$ (black, see image below) - is shifted up 2 units to produce the graph of $y=x^{2}+2$ (red) - is shifted up 4 units to produce the graph of $y=x^{2}+4$ (blue) - is shifted down 2 units to produce the graph of $y=x^{2}-2$ (green) We predict that - shifting the graph of $y=x^{2}$ DOWN 4 UNITS produces $y=x^{2}-4$ - shifting the graph of $y=x^{2}$ UP 5 UNITS produces $y=x^{2}+5$
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