Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point \( F \) are \( (-9,2) \), what are the coordinates of \( F^{\prime} \) ? \( (-17,5) \) \( (-6,-6) \) \( (-17,-1) \) \( (-12,-6) \)

To determine the coordinates of \( F' \) after the translation, follow these steps: 1. **Understand the Translation:** - **3 units to the right:** This means you add 3 to the x-coordinate. - **8 units down:** This means you subtract 8 from the y-coordinate. 2. **Apply the Translation to Point \( F \):** - Original coordinates of \( F \): \( (-9, 2) \) - **New x-coordinate:** \( -9 + 3 = -6 \) - **New y-coordinate:** \( 2 - 8 = -6 \) 3. **Resulting Coordinates:** - \( F' = (-6, -6) \) **Answer:** \( \boxed{(-6,-6)} \)