Final answer:
The translation of point P(4, -4) to point P'(7, 0) involves moving point P 3 units to the right and 4 units up.
Step-by-step explanation:
The question concerns the translation of point P with coordinates (4, -4) to a new point P' with coordinates (7, 0). To find the translation that maps point P to P', we need to determine the changes in the x and y coordinates separately. The change in the x-coordinate is 7 - 4 = 3, and the change in the y-coordinate is 0 - (-4) = 4. Therefore, point P is translated 3 units to the right and 4 units up to reach point P'.