Where does “μεταβολικός” come from?

μεταβολικός (Ancient Greek) comes from Ancient Greek μεταβολή, from Ancient Greek μετά, from Proto-Indo-European meth₂, from Proto-Indo-European mé.

Ancestry of “μεταβολικός”, step by step

Step	Language	Word	Meaning
1	Ancient Greek	μεταβολή	change, mutation, transformation
2	Ancient Greek	μετά	in the midst of, among, between, with; in common,...
3	Proto-Indo-European	meth₂	with
4	Proto-Indo-European	mé	—