document.write( "Question 459152: Determine whether x^2+y-81=0 is symmetric with respect to the x-axis, y-axis and or origin \n" ); document.write( "

Algebra.Com's Answer #314909 by robertb(5830) $\"\"$ $\"About$

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Change (x,y) to (-x,-y): $\"%28-x%29%5E2+-y+-81+=+0\"$ <==> $\"x%5E2+-+y+-+81+=+0\"$ , a different equation from the original. Hence no symmetry with respect to origin.\r
\n" ); document.write( "\n" ); document.write( "Change (x,y) to (x,-y): $\"x%5E2+-+y+-+81+=+0\"$ <==> $\"x%5E2+-+y+-+81+=+0\"$ , a different equation from the original. Hence no symmetry with respect to x-axis.\r
\n" ); document.write( "\n" ); document.write( "Change (x,y) to (-x,y): $\"%28-x%29%5E2+%2B+y+-+81+=+0\"$ <==> $\"x%5E2+%2B+y+-+81+=+0\"$ , the same equation as the original. Hence there is symmetry with respect to the y-axis. \n" ); document.write( "

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