Final answer:
The endpoints P(-4,6) and Q(3,-7) are transformed to P(7,-3) and Q(-6,4), suggesting a rotation of 180 degrees around the origin or reflections over both axes.
Step-by-step explanation:
The question is based on the concept of vector transformation, specifically finding the image of endpoints after a transformation. In the absence of specific transformation instructions, we can assume simplest transformations like reflections over axes or rotation about the origin. Given the options and the pattern of sign changes and swapping coordinates, option (d) presents a scenario where both endpoints are reflected over both axes. We see that P(-4,6) becomes (7,-3) and Q(3,-7) becomes (-6,4). This indicates the transformation involved may be a rotation of 180 degrees around the origin or two reflections, one across the x-axis followed by one across the y-axis.