College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises: 29

Answer

Refer to the blue graph below.
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Work Step by Step

RECALL: The function $y=f(x)+c$ involves a vertical shift of $c$ upward of the parent function $f(x)$ when $c \gt 0$. The given function is in the same format as the equation above, and has $c=3$. This means that the graph of $y=x^2+3$ involves a vertical shift of $3$ units upward of the parent function $y=x^2$ Thus, to graph the given function: (1) Graph the parent function $y=x^2$ . (Refer to the red graph in the attached image below) (2) Shift the parent function 3 units upward. (Refer to the blue graph in the attached image above.) (Refer to the attached image in the answer part above for the graph.)
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