Final answer:
The new location of point Alf after translation would be 5 units to the left and 4 units down from its original position; however, without the original coordinates, we cannot provide a specific location for A'. But since we are not given an initial position, we cannot definitively say that A' will be at b. (-5, -4).
Step-by-step explanation:
The question is related to the mathematical concept of translation of points on the coordinate plane. The student is asked to find the new location of a point called Alf after it is translated 5 units to the left and 4 units down. In coordinate geometry, moving a point to the left involves subtracting from the x-coordinate, and moving a point down involves subtracting from the y-coordinate.
If we denote the original location of Alf as (x, y), the new location A' after translation will be (x-5, y-4). Therefore, without the original coordinates of Alf, we cannot provide an absolute position for A'. However, answer choice A) A' = (-5, -4) implies a translation from the origin, so if Alf initially was at the origin (0,0), this would be the correct translated position. But since we are not given an initial position, we cannot definitively say that A' will be at (-5, -4).