Step 1 :Observe the given preimage and image coordinates.
Step 2 :Identify the transformation rule by comparing the preimage and image coordinates.
Step 3 :The transformation rule seems to be a combination of translation and reflection. The x-coordinate is reflected over the y-axis (multiplied by -1) and the y-coordinate is translated up by 1 unit.
Step 4 :Test the transformation function with the given preimage coordinates to see if it produces the correct image coordinates.
Step 5 :The transformation function is producing the correct image coordinates for the given preimage coordinates.
Step 6 :Therefore, the transformation rule is correct.
Step 7 :Final Answer: The transformation rule is \(\boxed{(x, y) \rightarrow (-x, y+1)}\).