Context: I’m missing a cutting board. So I wrote in our telegram family group: “Wo ist eigentlich unser zweites großes Schneidebrett hin?” (literally: “Where is actually our second big cuttingboard thither?”).
By using the modal particle “eigentlich” I insinuate that something is oddly off and express an emotional state of curiousity and/or mild discontent.
By adding “hin”, I notify that I ask because it is not where it is supposed to be and not because I don’t know where it should be.
Now I ask myself, how would I express this additional information in English?
Edit: Thank you all for your answers! I learned a lot. Just our cutting board is still gone, and probably enjoying it’s freedom somewhere … I suppose.
I think the most direct translation in this context would be “Where on earth is…” (or more extreme) “Where the hell is…”
These inserts add almost exactly the same connotations you describe for “eigentlich”, though perhaps also with the implication that you have spent some time looking for it already