Final answer:
The component form of the vector that translates P(-3, 6) to P'(0, 1) is (3, -5).
Step-by-step explanation:
To find the component form of a vector that translates P(-3, 6) to P'(0, 1), we subtract the coordinates of the initial point from the coordinates of the final point. P' - P = (0 - (-3), 1 - 6) = (3, -5). Therefore, the component form of the vector is (3, -5).