Shape $X'$ is a translation of shape $X$ by 2 units to the right and 1 unit down. The coordinates of point $Q'$ are given in the graph. We need to find the coordinates of point $Q$.

1. Problem Description

Shape $X'$ is a translation of shape $X$ by 2 units to the right and 1 unit down. The coordinates of point $Q'$ are given in the graph. We need to find the coordinates of point $Q$.

2. Solution Steps

Since shape $X'$ is a translation of shape $X$ by 2 units to the right and 1 unit down, to find the coordinates of point $Q$ from the coordinates of point $Q'$, we need to perform the inverse translation: move 2 units to the left and 1 unit up.

From the graph, the coordinates of point $Q'$ are $(4, 4)$.

To find the coordinates of $Q$, we need to subtract 2 from the $x$-coordinate and add 1 to the $y$-coordinate of $Q'$.

$Q = (4 - 2, 4 + 1) = (2, 5)$.

3. Final Answer

The coordinates of point $Q$ are $(2, 5)$.