Shape J is translated 4 squares down to give shape K. We need to write this translation as a vector.

1. Problem Description

Shape J is translated 4 squares down to give shape K. We need to write this translation as a vector.

2. Solution Steps

A translation vector describes the movement of a point or shape. In this case, shape J is moved down to become shape K.

The horizontal movement is 0, since shape J does not move left or right.

The vertical movement is -4, since the shape is translated 4 squares down.

Therefore, the translation vector is

$\begin{pmatrix} 0 \\ -4 \end{pmatrix}$.

3. Final Answer

$\begin{pmatrix} 0 \\ -4 \end{pmatrix}$