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+12
?(1 point)

k=0


k=2


k=14


k=4

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Answer 1

Compare the x^3 coefficients: the original is 1 and the new is 1/4, so the vertical scale factor (multiplier on y) is 1/4 — a compression to one quarter of the original.

None of the given choices list 1/4. If the test uses the (ambiguous) phrasing “compressed by a factor of 4” to mean “reduced to 1/4,” then pick k = 4; otherwise the correct scale factor is 1/4.