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)

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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

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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