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 - Page 20: 57

Answer

$y=3x^2-3$

Work Step by Step

To vertically stretch the graph of $y=x^2-1$ by a factor of 3, we multiply the right hand side by 3. Hence, the desired equation is $y=3(x^2-1)=3x^2-3$.
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