To translate the vertex of the rectangle at (8, -2) three units down, you need to subtract 3 from the y-coordinate.
Starting point:
- x-coordinate = 8
- y-coordinate = -2
After translating 3 units down:
- New y-coordinate = -2 - 3 = -5
Therefore, the new coordinates of the vertex after translation are: \((8, -5)\).
So the answer is: \((8, -5)\).