SOLUTION: orginal graph is y=4^x. I need to rewrite the equation and redraw graph showing a reflection about the y axis and a dilation of 1/2. I think for the reflection it is y=4^-x but d
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Question 858672: orginal graph is y=4^x. I need to rewrite the equation and redraw graph showing a reflection about the y axis and a dilation of 1/2. I think for the reflection it is y=4^-x but don't know what to do about the dilation.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We are given y=4^x and asked to show a reflection about the y axis and a dilation of 1/2.
first rewrite the equation using function notation
f(x) = 4^x
now
f(-x) = 4^-x = 1/4^x
dilation is a scale factor on the function, since we are showing a reflection about the y axis, we will use vertical dilation, therefore
f(x) = (1/2)*1/4^x
here is the graph of both equations (red line is f(x) = 4^x, green is reflection with vertical dilation)
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