Precalculus (6th Edition)

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

Chapter 2 - Graphs and Functions - 2.7 Graphing Techniques - 2.7 Exercises: 1

Answer

$3$

Work Step by Step

RECALL: The graph of the function $y=f(x)+k$ involves a vertical shift of $|k|$ units (upward when $k$ is positive, downward when $k$ is negative) of the parent function $f(x)$. The parent function of the given function is $y=x^2$. The given function can be written as $y = f(x) +(-3)$ where $f(x) = x^2$. This equation is of the same same form as the equation in the recall part above with $k=-3$. Thus, the graph of the given function involves a 3 unit shift downward of its parent function.
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