The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y
How to determine the graph?
The function is given as:
[tex]g(x) = 2^x[/tex]
When compressed horizontally by a factor of 1/2, the transformation rule is:
g'(x) = g(2x)
So, we have:
[tex]g(2x) = 2^{2x}[/tex]
[tex]g(2x) = 4^x[/tex]
When reflected across the x-axis, the transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f(x) = -4^x[/tex]
The graph represented by this is graph Y.
Hence, the graph of the transformation is graph Y
Read more about transformation at:
https://brainly.com/question/4289712
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