SOLUTION: The function y=(1/5)2^x.Which statement accurately compares the graph below with the graph of y=2^x? A. The graph above is a vertical compression of the graph of y=2^x B. The gr

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The function y=(1/5)2^x.Which statement accurately compares the graph below with the graph of y=2^x? A. The graph above is a vertical compression of the graph of y=2^x B. The gr      Log On


   



Question 1067214: The function y=(1/5)2^x.Which statement accurately
compares the graph below with the graph of y=2^x?
A. The graph above is a vertical compression of the graph of y=2^x
B. The graph above is a vertical stretch of the graph of y=2^x
C. The graph above is a vertical translation of the graph of y=2^x
D. The graph above is a horizontal translation of the graph of y=2^x

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We are given the function
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y = 2^x
:
Note that y = C * (2^x) is the form we want to consider when C is a constant
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We are given C = (1/5)
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C > 1 stretches it
0 < C < 1 compresses it
:
0 < (1/5) < 1
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Answer is A
:
We can see this from the graph, red line is 2^x and green line is (1/5)2^x
:
+graph%28+300%2C+200%2C+-3%2C+3%2C+-2%2C+5%2C+2%5Ex%2C+%281%2F5%292%5Ex%29+
: