The graph of f(x) can be compressrd vertically and shifted to the right to produce the graph of g(x). if f(x) = x^3, which of the following could be the equation of g(x)?
a.) g(x) = 1/2(x-6)^3
b.) g(x) = 2(x-6)^3
c.) g(x) = 2(x+6)^3
d.) g(x) = 1/2(x+6)^3

It is option A. A vertical compression means that the function is only a "fraction" of its original height, hence the fractional coefficient. 

REMEMBER, movement along the x-axis is always the OPPOSITE of what you think. So left = + and right = - 

So (x-6) actually means a shift 6 units to the right. (NOT left like you would naturally think) 

x+y=90

x=30-y=x

step-by-step explanation:

if you understand you will get the answer

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