Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

End-of-Course Assessment - Page 967: 39

Answer

$y= 2^{-x} -1$, or (C)

Work Step by Step

Transformation 1: for any function $f(x)$, a reflection across the y-axis turns that function into $f(-x)$. In this case of this function, it becomes $y=2^{-x}$. Transformation 2: to move up or down by k units, the entire function needs to be added or subtracted by k. In this case, 1 needs to be subtracted, so the result is $y = 2^{-x}-1$
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