To identify the value of \( k \) in this transformation of the ordered pairs, we start with the original ordered pair \((a, 2)\) and the transformed ordered pair \((2, 2)\).
Let's clarify what the transformation could mean. In general, if we denote a transformation in terms of a function, it often involves shifting or scaling along the x-axis or y-axis. We can consider a horizontal transformation of the form \( a + k = 2 \) (where \( a \) is the original x-coordinate and k is the transformation applied), plus the y-coordinate remains the same at 2.
Assuming the original x-coordinate \( a \) is 1 (since the function outputs "2" in the transformed coordinate), we have:
\[ 1 + k = 2 \]
To find \( k \), we can rearrange the equation:
\[ k = 2 - 1 = 1 \]
So, the value of \( k \) is \( 1 \). If the original \( a \) value was something else, please provide further context or details, and we can adjust the calculation accordingly.