Translation Coordinates 41E519

1. **State the problem:** We need to find the coordinates of vertex $C'$ after translating point $C$ 2 units left and 9 units down. 2. **Given:** Original coordinates of $C$ are $(-1, 6)$. 3. **Translation rule:** To translate a point $(x, y)$ by $a$ units left and $b$ units down, the new coordinates are $(x - a, y - b)$. 4. **Apply the translation:** $$ C' = (-1 - 2, 6 - 9) = (-3, -3) $$ 5. **Interpretation:** Moving 2 units left means subtracting 2 from the $x$-coordinate. Moving 9 units down means subtracting 9 from the $y$-coordinate. 6. **Final answer:** $$ C' = (-3, -3) $$