Questions on parity transformation

Is a parity transformation $(x,y,z)→(−x,y,z)$ or $(x,y,z)→(−x,−y,−z)$

A parity transformation (also called parity inversion) is the flip in the sign of one spatial coordinate. In three dimensions, it can also refer to the simultaneous flip in the sign of all three spatial coordinates (a point reflection) or $$mathbf{P}:begin{pmatrix} x y z end{pmatrix} rightarrow begin{pmatrix} -x -y -z end{pmatrix}$$

A spatial inversion (or parity transformations) is simple a map $vec{x}rightarrow -vec{x}$. Mathematically such a transformation are characterized by the conditons $$mathrm{det} O=-1 mathrm{ and } O^TO=1. $$

For the other question, you should be more specific to what you want to ask.