Question

write a rule for the translation (x + 1, y - 2) (x + 2, y - 1) (x - 2, y + 1) (x - 1, y + 2)

Explanation:

Step1: Analyze x - coordinate change

Pick a point, say \(A\) and its image \(A'\). Observe the horizontal shift. If we assume a general point \((x,y)\) in the original figure, we see that to get the x - coordinate of the new point, we add 1 to the original x - coordinate.

Step2: Analyze y - coordinate change

Observe the vertical shift of the point. To get the y - coordinate of the new point from the original point \((x,y)\), we subtract 2 from the original y - coordinate.

Answer:

\((x + 1,y - 2)\)