Step-by-step answer:
Step 1:
find out the amount and direction of the vertical translation.
+3 means translating 3 units up, and -6 means translating 6 units down.
Step 2:
to each of the coordinate pairs, add the value of the translation to the y-coordinate (i.e. the second number of the pair).
For example, if the translation is +3, and if one of the vertices is (4,1), then the image of the vertex is (4,1+3) = (4,4).
Repeat for the rest of the vertices.
Step 3:
Check by graphing both image and preimage to see if the shapes are identical. If not, look for a mistake in the translation process.