When −1< k <1, describe the effect of k on f(kx) and kf(x).

Question

When −1< k <1, describe the effect of k on f(kx) and kf(x).

Answer 1

The effects of the transformations on the functions are given as follows:

-1 < k < 0: f(kx) is reflected over the y-axis and horizontally stretched.

-1 < k < 0: kf(x) is reflected over the x-axis and vertically compressed.

0 < k < 1: f(kx) is horizontally stretched.

0 < k < 1: kf(x) is vertically compressed.