Answer: (x - 3, y - 6) or S(-5 -3, 6 -6)
First we have to figure out how many spaces left to right (x-axis) and how many spaces up and down (y-axis) will get us to S'
x-axis: -5 - 3 = -8
y-axis: 6 - 6 = 0
Now we just add this to the original coordinate to give us the translation coordinate:
S(-5, 6) → S(-5 -3, 6 -6)