document.write( "Question 1051882: Please help me on this. Thank you.\r
\n" ); document.write( "\n" ); document.write( "Determine if there is any symmetry: y-axis symmetry and origin symmetry\r
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Algebra.Com's Answer #667358 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "A function has symmetry about the

-axis if the point

is on the graph whenever the point

is on the graph.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A function has symmetry about the origin if the point

is on the graph whenever the point

is on the graph.\r
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\n" ); document.write( "\n" ); document.write( "With the exception of the constant function

, a relation that has symmetry about the

-axis is not a function.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, substitute

for

. If you have an equivalent function, then you have symmetry about the

-axis. Otherwise not.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Substitute

for

and

for

. If the result is an equivalent function, then you have symmetry about the origin. Otherwise, not.\r
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\n" ); document.write( "\n" ); document.write( "Note: Most functions are not symmetrical about anything.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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