What is a rule that describes the translation abcd ⇒a' b' c' d'?

a. t < 3,-2> (abcd)
b. t < 3,2> (abcd)
c. t < 2,-3> (abcd)
d. t< -3,2> (abcd)

a. is wrong

To go from A = (-3,3) to A' = (-6, 5) we need to
* step 1) move 3 units to the left
* step 2) move 2 units up

The movement in step 1 means x becomes x-3
The movement in step 2 means y becomes y+2

Put this together and (x,y) turns into (x-3, y+2)

That's the same as writing T<-3, 2> as choice D is saying

Choice D