1. **Stating the problem:** Given points A(3, -2) and B(9, 11), find the direction of translation from point A to point B. 2. **Formula and explanation:** The translation vector from point A to point B is found by subtracting the coordinates of A from B: $$\text{Translation} = (x_B - x_A, y_B - y_A)$$ This vector shows how much we move horizontally and vertically from A to reach B. 3. **Calculation:** $$x_B - x_A = 9 - 3 = 6$$ $$y_B - y_A = 11 - (-2) = 11 + 2 = 13$$ 4. **Result:** The translation vector is: $$\begin{pmatrix}6 \\ 13\end{pmatrix}$$ 5. **Conclusion:** The correct answer is option a: $$\begin{pmatrix}6 \\ 13\end{pmatrix}$$ This means to get from point A to point B, move 6 units right and 13 units up.