Nope.
Reflecting across the line y = -5 means that the image is as far below the line as (-2,-1) is above it: 4 units. So,
(-2,-1) -> (-2,-9)
Same with the line x=1. 3 to the left, so 3 to the right.
(-2,-9) -> (4,-9)
Reflecting across the line y=k:
(x,y) -> (x,k-(y-k))
Across the line x-h:
(x,y) -> (h-(x-h),y)
So, the two reflections take
(x,y) -> (h-(x-h),k-(y-k))
In this case,
(-2,-1) -> (1-(-2-1),-5-(-1+5)) = (4,-9)
Find the image of O (-2,-1) after two reflections, first across the line y=-5, and then across the line x=1.
I believe the answer should be (-1,-6)
Can someone please confirm?
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