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18 February, 04:27

Suppose that F (x) = x^3 and G (x) = (4x) ^3 - 5. Which statement best compares the graphs of F (x) and G (x) ?

A. The graph of G (x) is the graph of F (x) stretched vertically and shifted 5 units down.

B. The graph of G (x) is the graph of F (x) stretched horizontally and shifted 5 units down.

C. The graph of G (x) is the graph of F (x) compressed vertically and shifted 5 units down.

D. The graph of G (x) is the graph of F (x) compressed horizontally and shifted 5 units down.

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Answers (1)
  1. 18 February, 04:38
    0
    We have that

    F (x) = x^3 and G (x) = (4x) ^3 - 5

    so

    G (x) = F (4x) - 5

    the visual effect is

    1) shrink horizontally by 1/4

    2) shift down by 5

    therefore

    the answer is the option

    D. The graph of G (x) is the graph of F (x) compressed horizontally and shifted 5 units down.
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