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: 23

Answer

(a) Position 4 (b) Position 1 (c) Position 2 (d) Position 3

Work Step by Step

(a) The graph of $y=(x-1)^2-4$ is the graph of $y=x^2$ shifted 1 unit to the right and 4 units down. Hence the graph in position 4 is the graph of this equation. (b) The graph of $y=(x-2)^2+2$ is the graph of $y=x^2$ shifted 2 units to the right and 2 units up. Hence the graph in position 1 is the graph of this equation. (c) The graph of $y=(x+2)^2+2$ is the graph of $y=x^2$ shifted 2 units to the left and 2 units up. Hence the graph in position 2 is the graph of this equation. (d) The graph of $y=(x+3)^2-2$ is the graph of $y=x^2$ shifted 3 units to the left and 2 units down. Hence the graph in position 3 is the graph of this equation.
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