Answer:
(-7, -7)
Step-by-step explanation:
1. Let's ONLY focus on point C.
2. The algebraic rule for reflecting across the y-axis is (x, y) -> (-x, y).
- Since point C is on the coordinate (7,1), when reflecting it across the y-axis, it's going to turn into (-7,1).
3. The algebraic rule for translating 8 units down is (x, y) -> (x, y - 8).
- Since C is on (-7,1), when we translate it 8 units down, we'll get C' as (-7, -7)
Therefore, the coordinates for C' are (-7, -7).