Question

The following ordered pairs came from a function transformation. The original ordered pair is (2,9)
, and the transformation ordered pair is (6,9)
. Which of the following correctly identifies the value of k and describes whether it is a compression or a stretch?(1 point)
Responses

13
; compression
Start Fraction 1 over 3 End Fraction ; compression

3; stretch
3; stretch

3; compression
3; compression

13
; stretch

Answer 1

To analyze the transformation from the original ordered pair (2, 9) to the transformed ordered pair (6, 9), we can observe the change in the x-coordinate.

The x-coordinate changes from 2 to 6. To determine the value of \( k \) that represents this transformation, we can set up a relationship based on the transformation:

\[
k \cdot x = \text{transformed } x
\]

Substituting the values we have:

\[
k \cdot 2 = 6
\]

To find \( k \), we divide both sides by 2:

\[
k = \frac{6}{2} = 3
\]

Since the \( k \) value is greater than 1, this indicates a **stretch**.

Thus, the correct response is:

**3; stretch**.