Question

If the line f(x)=1/2x−4
was stretched by a factor of k=3
, then which of the following features of the function would change?(1 point)
Responses

only the slope
only the slope

only the y-intercept
only the y -intercept

both the slope and the y-intercept
both the slope and the y -intercept

neither the slope nor the y-intercept

Answer 1

Both the slope and the y-intercept.

A vertical stretch by factor 3 gives g(x)=3f(x)=3[(1/2)x−4]=(3/2)x−12, so both the slope (1/2 → 3/2) and the y-intercept (−4 → −12) change.