Shape X is translated by 4 units to the right and 1 unit down. We need to find the coordinates of point B' after the translation.

1. Problem Description

Shape X is translated by 4 units to the right and 1 unit down. We need to find the coordinates of point B' after the translation.

2. Solution Steps

First, we need to find the coordinates of point B in the original shape. From the graph, the coordinates of point B are $(4, 8)$.

The translation is 4 units to the right and 1 unit down. This means we add 4 to the x-coordinate and subtract 1 from the y-coordinate.

New x-coordinate = Original x-coordinate + 4

New y-coordinate = Original y-coordinate - 1

So, the new coordinates of point B' are:

x-coordinate of B' = 4 + 4 = 8

y-coordinate of B' = 8 - 1 = 7

Therefore, the coordinates of B' are $(8, 7)$.

3. Final Answer

(8, 7)