Algebra 2 Common Core

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

End-of-Course Assessment - Page 966: 16

Answer

$y = -2*3^x$, or (G)

Work Step by Step

The base exponential function here is $y = 3^x$ as shown by the choices, and the behavior of the graph validates the exponential nature. Visually, it can be seen that this graph undergoes a transformation from that base function, specifically, a reflection over the x-axis (which reverses the sign). The result of that transformation is $y = -3^x$. As when x = 0, y = 2 from the graph, the coefficient of 2 needs to be added to the front. $y = -2*3^x$. This checks out at the y-intercept: $y(0) = -2*3^0 = -2*1 = -2$
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