Final answer:
To translate the given points using the given rules:
Step-by-step explanation:
To translate a point using a rule, we add the given values to the coordinates of the point. Let's apply the rules to each point:
- For the point (4, -1) using the rule (x + 6, y + 9), the translated point would be (4 + 6, -1 + 9) = (10, 8).
- For the point (2, 12) using the rule (x + 4, y - 5), the translated point would be (2 + 4, 12 - 5) = (6, 7).
- To translate the point (-4, 6) 2 units down, we subtract 2 from the y-coordinate, resulting in (-4, 6 - 2) = (-4, 4).
- For the point (-6, 12) using the rule (x + 11, y + 3), the translated point would be (-6 + 11, 12 + 3) = (5, 15).