Final answer:
The position of K' is (-4, -4) and the position of B' is (-5, 0).
Step-by-step explanation:
Given that Y'(-4,8) is the image of Y (-3,4), we can determine the position of the image or object with the same translation for the points K (5,3) and B'(-2,-8).
To find the position of K', we need to translate the point K using the same translation vector that was used to translate Y to Y'. So, we subtract the x-coordinate of Y from the x-coordinate of K and subtract the y-coordinate of Y from the y-coordinate of K. Thus, K' has the position (-4, -4).
Similarly, to find the position of B', we use the same translation vector to get B'. Subtracting the x-coordinate of Y from the x-coordinate of B and subtracting the y-coordinate of Y from the y-coordinate of B, we find that B' has the position (-5, 0).