document.write( "Question 824637: What kind of symmetry does the graph of y^2=x^2+6 \n" ); document.write( "
Algebra.Com's Answer #496635 by KMST(5328)\"\" \"About 
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The graph is symmetrical with respect to the y-axis \"x=0\" because if (x,y) belongs to the graph,
\n" ); document.write( "because \"y%5E2=x%5E2%2B6\" , then
\n" ); document.write( "(-x,y) belongs to the graph,
\n" ); document.write( "because \"%28-x%29%5E2%2B6=x%5E2%2B6=y%5E2\" .
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\n" ); document.write( "The graph is symmetrical with respect to the x-axis \"y=0\" because if (x,y) belongs to the graph,
\n" ); document.write( "because \"y%5E2=x%5E2%2B6\" , then
\n" ); document.write( "(x,-y) belongs to the graph,
\n" ); document.write( "because \"%28-y%29%5E2=y%5E2=x%5E2%2B6\" .
\n" ); document.write( "
\n" ); document.write( "The graph is symmetrical with respect to point (0,0), the origin,
\n" ); document.write( "because if (x,y) belongs to the graph,
\n" ); document.write( "because \"y%5E2=x%5E2%2B6\" , then
\n" ); document.write( "(-x,-y) belongs to the graph,
\n" ); document.write( "because \"%28-y%29%5E2=y%5E2=x%5E2%2B6=%28-x%29%5E2%2B6\" .
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