Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 207: 53

Answer

$f(x)=x^2-3$

Work Step by Step

Given the standard function, $ f(x)=x^2 $, the equation of the graph that shifts downward will have a negative constant added to the equation. Hence, a shift of $3$ units downward will have the equation, \begin{array}{l}\require{cancel} f(x)=x^2-3 .\end{array}
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