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.