A composition of translation means that we have two or more translations combined to form a new translation.
The symbol that represents a composition of transformation is an open circle "o" and it is written between the two transformations. The order in which we perform the transformations is from right to left, this means that when you have T〈-3,3〉oT〈-2,4〉you have to perform the translation T〈-2,4〉first and then T〈-3,3〉.
As you can see, in the first translation T〈-2,4〉we are moving 2 units left in the x-direction and 4 units up in the y-direction, then we can rewrite this transformation like this:
T〈-2,4〉= (x - 2, y + 4)
Similarly, for the second translation we get:
T〈-3,3〉= (x - 3, y + 3)
As you can see, we are subtracting 2 from x in the first translation and then we are subtracting -3 from x in the second one, then we are subtracting a total of 5 from x (-2 - 3 = -5), similarly, for y, we are adding 4 in the first translation and then we are adding 3, then we are adding 7 in total (4 + 3 = 7), then we can rewrite the composition of the given translations like this:
T〈-3,3〉o T〈-2,4〉=T〈-5,7〉