ANSWER
(x, y) -> (x - 2, y + 5)
Step-by-step explanation
The translation described is 2 units to the left and 5 units up.
We know that on the cartesian plane (x-y axis), there are four (4) corners:
=> +y
=> -y
=> +x
=> -x
You will notice that +y points in the upward direction while -y points in the downward direction.
Also, +x points to the right and -x points to the left.
So, a translation 2 units left would mean moving towards the -x axis and so, it would mean:
x -> x - 2
A translation 5 units up would mean moving towards the +y axis and so it would mean:
y -> y + 5
So, the translation of (x, y) would be:
(x, y) -> (x - 2, y + 5)