Answer:
The correct option is 2.
Explanation:
The vertices of parallelogram ABCD are A(-1,-2), B(-2,-1), C(-4,-1), D(-3,-2).
In option 1, ABCD reflected about x-axis, y=x, x-axis, y=x.

Therefore option 1 is incorrect.
In option 2, ABCD reflected about y=x, x-axis, y=x, y-axis.

Therefore the parallelogram ABCD onto itself. Option 2 is correct.
In option 3, ABCD reflected about y-axis, x-axis, y-axis.

Therefore option 3 is incorrect.
In option 4, ABCD reflected about x-axis, y-axis, y-axis.

Therefore option 4 is incorrect.