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)=14x3+12
?(1 point)

k=0


k=2


k=14


k=4

Answer 1

The correct vertical compression factor is k = 1/4.

Reason: A vertical compression multiplies all y-values by k. The x^3 coefficient goes from 1 to 1/4, so k = 1/4. (If the second function were actually 14x^3 + 12, that would be a vertical stretch by 14, not a compression.)