Final answer:
The translation of point A(-4, 1) to point A'(4, 5) can be described by the rule (x + 8, y + 4), which corresponds to option D.
Step-by-step explanation:
The translation of point A(-4, 1) to point A'(4, 5) can be described by the rule (x + 8, y + 4), which corresponds to option D. To perform the translation, we add 8 to the x-coordinate and 4 to the y-coordinate of point A. This shift moves point A to its new position at A'(4, 5).