Final answer:
The image of the point (-3,2) under a translation that maps the origin to (5,-3) is (2,-1), which does not match any of the provided options; indicating an error in the question or choices.
Step-by-step explanation:
A translation transforms every point of a figure or space by the same amount in a given direction. To find the image of a point under a translation that maps the origin to the point (5,-3), we add the translation vector to the coordinates of the point in question.
In this case, the translation vector is (5,-3), since that is where the origin is mapped to. So, to find the image of the point (-3,2) under this translation, we perform the following vector addition:
- x-coordinate: -3 + 5 = 2
- y-coordinate: 2 + (-3) = -1
Therefore, the image of the point (-3,2) under the translation is (2,-1). This does not match with any of the options provided, so there seems to be a mistake in the question or the given choices.