Answer:
The image of point O after these reflections is (-3, -1)
Explanation:
For a point (x, y) a reflection across the line y = a transforms the point to:
(x, a + (a - y))
and for a reflection across the line x = b, the new point will be:
(b + (b - x), y)
Then if we start with the point (-1, -3) and we do a reflection across the line y = -2
the new point is:
(-1, -2 + (-2 - (-3))
(-1, -2 + 1) = (-1, -1)
now we do a reflection across the line x = -2
Then the new point is:
(-2 + (-2 - (-1)), -1)
(-2 + (-2 + 1), -1)
(-2 - 1, -1)
(-3, -1)
The image of point O after these reflections is (-3, -1)