Step 1

\[\begin{array}{|c|c|}\hline (x,\ y) & f=(x,\ -y) \\ \hline (1,\ 0) & (1,\ 0) \\ \hline (0,\ 1) & (0,\ -1) \\ \hline (-1,\ 0) & (-1,\ 0) \\ \hline (0,\ -1) & (0,\ 1) \\ \hline (2,\ 0) & (2,\ 0) \\ \hline (0,\ 2) & (0,\ -2) \\ \hline \end{array}\]

Cleasy all points form first quadrant to all points of forte quadrant and vice versa.

Similars all point of d Second quadrant to all point of third quadrant vice verse.

Hence

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