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

I've solved this one ---thanks

To find the image of a point after two reflections, we can perform each reflection individually and then find the resulting coordinates.

Let's first reflect the point O(-2, -1) across the line y = -5:

1. The line y = -5 is a horizontal line. To reflect a point across this line, we need to keep the x-coordinate unchanged and change the sign of the y-coordinate.

So, after reflecting O(-2, -1) across y = -5, we get O'(-2, -(-1)) or O'(-2, 1).

Now, let's reflect the point O'(-2, 1) across the line x = 1:

2. The line x = 1 is a vertical line. To reflect a point across this line, we need to keep the y-coordinate unchanged and change the sign of the x-coordinate.

So, after reflecting O'(-2, 1) across x = 1, we get O''(-(1+2), 1) or O''(-3, 1).

Therefore, the image of O(-2, -1) after two reflections - first across y = -5, and then across x = 1 - is O''(-3, 1).