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Select all the correct statements. (For this problem, we assume that an exponential function is of the form $ka^x,$ where $a > 0.$)

(A) If the graph of an exponential function is reflected in the x-axis, then we obtain the graph of another exponential function

(B) If the graph of an exponential function is reflected in the y-axis, then we obtain the graph of another exponential function

(C) If the graph of an exponential function is translated vertically, then we obtain the graph of another exponential function.

(D) If the graph of an exponential function is translated horizontally, then we obtain the graph of another exponential function

 Aug 25, 2023
 #1
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These statements are all true

The  basic graph is y = 3^x

The second graph is  y= -3^x   (translates the basic graph across the x axis)

The third graph is  y = 3^(-x)   (translates the graph across the y axis)

The last two are vertical and horizontal  translations of the  basic graph

 

cool cool cool

 Aug 25, 2023

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