Question 1023368
SWRT the origin:  Replace (x,y) by (-x,-y) in the equation and simplify the resulting equation.  If you get the original equation, then there is swrt the origin.

SWRT the x-axis:  Replace (x,y) by (x,-y) in the equation and simplify the resulting equation.  If you get the original equation, then there is swrt the x-axis.

SWRT the y-axis:  Replace (x,y) by (-x,y) in the equation and simplify the resulting equation.  If you get the original equation, then there is swrt the y-axis.