Does $y=2/x$ have any lines of symmetry?

Question

Lines of symmetry for $y=1/x$ are $y=x$ and $y=-x$.

Does $y=2/x$ likewise have lines of symmetry?

the very same ones as y=1/x. – user317176 Mar 19 '16 at 12:56 — user317176, Mar 19 '16 at 12:56
It's a hyperbola rotated $45^\circ$! – Steven Alexis Gregory Mar 19 '16 at 13:46 — Steven Alexis Gregory, Mar 19 '16 at 13:46

score 0 · Accepted Answer · answered Mar 19 '16 at 13:43

0

All rectangular hyperbolae $ x \cdot y = k $ have lines of symmetry $ x=y,x= -y.$

answered Mar 19 '16 at 13:43

Narasimham

1 Answers1