College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding - Page 256: 6


Option (a)

Work Step by Step

RECALL: The graph of the function $y=f(ax)$ yields one of the following transformations of the parent function $f(x)$: (i) horizontal compression when $a\gt 1$; or (ii) horizontal stretch when $0 \lt a \lt 1$ The given function involves a horizontal compression by a factor of $4$, which means that $a=4$. Thus, the equation of the function is: $y=f(4x)$ Therefore, the answer is Option (a).
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