Don't over think this. A translation is a slide of the object or point. We will simply slide the point right or left and up or down.
Because it says (x,y) -> (x +4, y-5) it wants you to go 4 more right on the x-axis and 5 down on the y-axis.
NOTE: it is implying right because it is +4 and down because it is - 5. If it was - 4 then we would go left, and if it was + 5 we would go up.
Since the point given is (-8, -13), then your x is -8 and your y is -13. plug this in the first set of blank spaces. Then simplify for the second set of blank spaces.
(x, y) --> ( -8 + 4, -13 - 5) = (-4,-18)