Answer: [tex]T_{-2,4}[/tex] (second answer choice)
======================================================
Explanation:
[tex]T_{x,y}[/tex] means we move x units to the right and y units up. If x is negative, then you move left. If y is negative, then you move down.
[tex]T_{3,-1}[/tex] means you move 3 units to the right (x is positive) and 1 unit down (y is negative).
[tex]T_{-5,5}[/tex] means you move 5 units to the left (x is negative) and 5 units up (y is positive)
------------
Since we move 3 units to the right and then 5 units to the left, overall we moved 3+(-5) = -2 units to the right or 2 units to the left
Since we move 1 unit down and 5 units up, we moved -1+5 = 4 units up overall.
Overall, we move 2 units to the left and 4 units up which is represented by [tex]T_{-2,4}[/tex]
