Question

Which of the following correctly identifies the factor k for the vertical compression from the function f(x)=x3+2
to the function f(x)=1/4x3+1/2
?(1 point)

k=0


k=2


k=14


k=4

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Answer 1

Factor out: (1/4)x^3 + 1/2 = (1/4)(x^3 + 2), so the new function is (1/4)·(old function). The vertical compression factor is k = 1/4 — choose the option written as 1/4 (the "k=14" choice is likely meant to be 1/4).