Question

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

Explanation:

Step1: Observe the change in x - coordinate

To find the translation rule, we look at how the x - coordinate of a point changes. If we assume a general point (x,y) in the original figure and (x',y') in the translated figure. By comparing the positions of corresponding points in the graph, we can see that the x - coordinate of each point in the new figure is 1 less than the x - coordinate of the corresponding point in the original figure, so x'=x - 1.

Step2: Observe the change in y - coordinate

The y - coordinate of each point in the new figure is 2 more than the y - coordinate of the corresponding point in the original figure. So y'=y + 2.

Answer:

(x - 1,y + 2)