check my answer please!!


find the image of o(-2 -1) after two reflections, first across the line y=-5, and then across the line x=1.

(-2,-1)
(-1,-6)#
(4,-9)
(1,-5)

(-2,-1) -> (-2,-9) -> (4,-9)

To find the image of point O(-2,-1) after two reflections, first across the line y = -5 and then across the line x = 1, we can follow these steps:

1. Reflection across the line y = -5:
- To reflect a point across a horizontal line, we keep the x-coordinate the same and change the sign of the y-coordinate.
- The y-coordinate of O is -1, and after reflecting across y = -5, the new y-coordinate becomes -(-1) = 1.
- So, the image of O after the first reflection is (-2, 1).

2. Reflection across the line x = 1:
- To reflect a point across a vertical line, we keep the y-coordinate the same and change the sign of the x-coordinate.
- The x-coordinate of the image from the first reflection is -2, and after reflecting across x = 1, the new x-coordinate becomes -(1) = -1.
- So, the image of the first reflection, which is (-2, 1), after the second reflection is (-1, 1).

Therefore, the correct answer is (-1, 1), and not any of the other options provided.