Final answer:
The correct translation vector that moves point B to B' is <-6, 1>, obtained by subtracting the coordinates of B from B'.
Step-by-step explanation:
To find the translation vector that moves point B to point B', we need to calculate the difference between the coordinates of B' and B.
Given that the original coordinates of B are B(-4,5) and the translated coordinates are B'(-10,6), we can find the translation vector by subtracting the coordinates of point B from the coordinates of point B'.
The x-coordinate translation is -10 - (-4) = -6 and the y-coordinate translation is 6 - 5 = 1. Therefore, the translation vector is <-6, 1>.