this link might help:
if it doesn't i will try figuring out the answer
Hint: It involves a rotation and an enlargement, but the rotation center isn't the origin.
No, it isn't. The rotation center is (0, 2).
If you translate the entire diagram 2 unit downwards, then you would realise it is rotated 180 degrees about (0, 0). Then you can translate the entire diagram upwards again, including that rotation center, and you will realise the rotation center is (0, 2).