Quadratic equations

which of the following are quadratic equations?

y = 1/x
xy=1
x=y^2
y=x^2 + z^2

Hi Leaderboard, sorry I couldn’t attach the question screenshot because this was a question that was borne out of my own rumination.

I understand that quadratic equations means highest degree is 2. By this logic, y=1/x is out. But the other 3 examples i gave, their degrees are 2, so are they all quadratic equations? Wanted to confirm.