Final answer:
The given transformation (x,y) → (x-2,y+5) is a translation that shifts each point two units left and five units up.
Step-by-step explanation:
The given transformation (x,y) → (x-2,y+5) is a translation. It moves each point (x,y) two units to the left and five units up. In other words, the x-coordinate of each point is decreased by 2 and the y-coordinate is increased by 5.
For example, if we have a point (3,4) in the original coordinate system, applying the transformation would give us (3-2, 4+5) which simplifies to (1,9).
To summarize, the given transformation is a translation that shifts each point two units left and five units up.