Answer:
c. (x -6, y +8)
Explanation:
We can tell which answer to choose by looking at the change in the y-coordinate. Point Y is (4, -4). Point Y' is (-2, 4). The new y-coordinate has been translated upward by ...
4 -(-4) = 8 . . . units
That is, y' = y +8. This matches choice C.
The translation of Y(4, -4) to Y'(-2, 4) is described by ...
(x, y) ⇒ (x -6, y +8)
Y(4, -4) ⇒ Y'(4 -6, -4 +8) = Y'(-2, 4)