the graph of f(x) can be compressed vertically and shifted to the left 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)=5(x-1)^3
B. G(x)=5(x+1)^3
C. G(x)=1/5(x+1)^3
D. G(x)=1/5(x-1)^3

Question

the graph of f(x) can be compressed vertically and shifted to the left 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)=5(x-1)^3
B.  G(x)=5(x+1)^3
C.  G(x)=1/5(x+1)^3
D.  G(x)=1/5(x-1)^3

anonymous · Answer

Compressed vertically means that the function is scaled by a factor > 1 (in this case it is 5) Shifted to the left means that x is subtituted by x+1 So B is the correct answer: G(x) = 5(x+1)^3 You can check by using https://www.desmos.com/calculator

zpupster · Answer

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