Question 824637: What kind of symmetry does the graph of y^2=x^2+6
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The graph is symmetrical with respect to the y-axis  because if (x,y) belongs to the graph,
because  , then
(-x,y) belongs to the graph,
because  .
The graph is symmetrical with respect to the x-axis  because if (x,y) belongs to the graph,
because , then
(x,-y) belongs to the graph,
because  .
The graph is symmetrical with respect to point (0,0), the origin,
because if (x,y) belongs to the graph,
because , then
(-x,-y) belongs to the graph,
because  .
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