1. **State the problem:** We have quadrilateral MNOP with vertices M(1, 6), N(3, 4), O(4, -1), and P(-2, 3). We want to find the new coordinates of each vertex after applying the translation rule $(x, y) \to (x - 3, y + 1)$. 2. **Translation rule:** The translation rule moves each point by subtracting 3 from the x-coordinate and adding 1 to the y-coordinate. 3. **Apply the translation to each vertex:** - For M(1, 6): $$M' = (1 - 3, 6 + 1) = (-2, 7)$$ - For N(3, 4): $$N' = (3 - 3, 4 + 1) = (0, 5)$$ - For O(4, -1): $$O' = (4 - 3, -1 + 1) = (1, 0)$$ - For P(-2, 3): $$P' = (-2 - 3, 3 + 1) = (-5, 4)$$ 4. **Final answer:** The translated vertices are: $$M'(-2, 7), N'(0, 5), O'(1, 0), P'(-5, 4)$$