Question 824637
The graph is symmetrical with respect to the y-axis {{{x=0}}} because if (x,y) belongs to the graph,
because {{{y^2=x^2+6}}} , then
(-x,y) belongs to the graph,
because {{{(-x)^2+6=x^2+6=y^2}}} .
 
The graph is symmetrical with respect to the x-axis {{{y=0}}} because if (x,y) belongs to the graph,
because {{{y^2=x^2+6}}} , then
(x,-y) belongs to the graph,
because {{{(-y)^2=y^2=x^2+6}}} .
 
The graph is symmetrical with respect to point (0,0), the origin,
because if (x,y) belongs to the graph,
because {{{y^2=x^2+6}}} , then
(-x,-y) belongs to the graph,
because {{{(-y)^2=y^2=x^2+6=(-x)^2+6}}} .