Question

Write the rule for the composition transformation (4 points)

(x - ?, y - ?)

Answer 1

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.