SOLUTION: Which of the following functions represents f(x) =8^x after a vertical compression by a factor of 1/4 and a reflection in the y-axis? g(x)=-1/4(8^x) g(x)=-(8^4x) g(x)=1/4(8^-

Question 1139316: Which of the following functions represents f(x) =8^x after a vertical compression by a factor of 1/4 and a reflection in the y-axis?
g(x)=-1/4(8^x)
g(x)=-(8^4x)
g(x)=1/4(8^-x)
g(x)=8^-1/4x
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A GENERAL NOTE: STRETCHES AND COMPRESSION OF THE PARENT FUNCTION

then the function
-is stretched vertically by factor of if
-is compressed vertically by a factor of if
-has a y-intercept at (,)
-has a horizontal asymptote of , range of (,), and domain of (,) which are all unchanged from the parent function
-when we multiply the parent function by , we get a reflection about the -axis.
-when we multiply the by , we get a reflection about the -axis

you are given:

after a vertical compression by a factor of you got

then multiply the by to get a reflection about the -axis:

=> your answer is:

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