Final answer:
The image of a point X(3,5) along a translation vector (-4,6) is obtained by adding the components of the translation vector to the coordinates of X. So, the image point is (3 + (-4), 5 + 6), which simplifies to (-1, 11). Therefore, the correct answer is d. (-1, 11).
Step-by-step explanation:
The image of the point X(3,5) after a translation by the vector (-4,6) is calculated by adding the vector components to the original point's coordinates. We add -4 to the x-coordinate of X and 6 to the y-coordinate of X, which results in the point (-1, 11). So, the correct answer is d. (-1,11).