To express a composition transformation in the form \( (x - ?, y - ?) \), you need to specify the changes made to the \( x \) and \( y \) coordinates.
Let's say you want to translate a point \((x,y)\) by \(a\) units in the \(x\)-direction and \(b\) units in the \(y\)-direction. The transformation would be:
\[ (x, y) \rightarrow (x - a, y - b) \]
If you want to define the transformation specifically, you can replace \(a\) and \(b\) with the values of your choice. For example, if you want to move the point left by 2 units and down by 3 units, the transformation would be:
\[ (x - 2, y - 3) \]
So, in this case, the rule would be:
- \( ? = 2 \) for the \(x\) coordinate
- \( ? = 3 \) for the \(y\) coordinate
Thus, the complete transformation rule would be \((x - 2, y - 3)\).
In general terms:
\[ (x - a, y - b) \]
Where \( a \) and \( b \) are the respective distances of the translation in the \( x \) and \( y \) directions.