Final answer:
The correct image of the point (-5, 1) under a translation cannot be determined without knowing the specific translation vector used to move point P to P'. Each of the provided options corresponds to a different translation vector.
Step-by-step explanation:
To determine the image of the point (-5, 1) under the same translation that maps point P to P', we need to know the translation vector used to move P to P'. A translation vector tells us how far and in what direction each point moves during the translation. For example, if point P moved 3 units to the right and 2 units down to become P', then we have a translation vector of (3, -2). Applying this same translation to point (-5, 1), we would add the translation vector to the original coordinates, resulting in (-5+3, 1-2) which is (-2, -1).
Since the specific translation details are not given in the question, we cannot determine the correct answer from the provided options A. (1, -3), B. (-5, 1), C. (-4, -2), or D. (-3, 7). Each option corresponds to a different translation vector. Therefore, the correct answer to the question requires additional information regarding the translation vector.