if point (x, y) translated h units right and k units down, then its image is (x + h, y - k)
We add its x-coordinate by h and subtract its y-coordinate by k
The vertices of the given figure are:
(-6, 2), (-1, 6), (-2, 7), (-4, 7)
Since we will translate the figure 6 units right and 1 unit down, then
h = 6 and k = 1
Add 6 to each x-coordinate and subtract 1 from each y-coordinate
Then the new points are:
(-6 + 6, 2 - 1) = (0, 1)
(-1 + 6, 6 - 1) = (5, 5)
(-2 + 6, 7 - 1) = (4, 6)
(-4 + 6, 7 - 1) = (2, 6)
The new vertices are
(0, 1), (5, 5), (4, 6), (2, 6)