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 $$ F^{\prime} $$ ? $$ (-17,5) $$ $$ (-6,-6) $$ $$ (-17,-1) $$ $$ (-12,-6) $$

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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:** $$ \boxed{(-6,-6)} $$
The coordinates of $$ F' $$ are $$ (-6, -6) $$.

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 \( F^{\prime} \) ? \( (-17,5) \) \( (-6,-6) \) \( (-17,-1) \) \( (-12,-6) \)

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