Question

The following ordered pairs came from a function transformation. The original ordered pair is (4,9)
, and the transformation ordered pair is (2,9)
. Which of the following correctly identifies the value of k and describes whether the dilation is a horizontal compression or stretch?(1 point)
Responses

k = 0.5; stretch
k = 0.5; stretch

k = 2; stretch
k = 2; stretch

k = 2; compression
k = 2; compression

k = 0.5; compression

Answer 1

k = 0.5; compression

Reason: the x-coordinate went from 4 to 2, so new x = 0.5·old x. Since the horizontal scale factor k = 0.5 < 1, that's a horizontal compression.

Answer 2

The answer is:
k = 2; compression