Final answer:
To find the coordinates of point B' after the translation by vector (2, -4), add the values of the vector to the coordinates of point B. The coordinates of point B' are (-1, -1).
Step-by-step explanation:
In order to find the coordinates of point B' after the translation by vector (2, -4), we need to add the values of the vector to the coordinates of point B.
Point B has coordinates (-3, 3), and the translation vector is (2, -4). Adding these values, we get (-3 + 2, 3 + (-4)), which simplifies to (-1, -1).
Therefore, the coordinates of point B' after the translation are (-1, -1).