document.write( "Question 814677: Find the center, vertices, foci, and asymptotes of the hyperbola.
\n" ); document.write( "\"9y%5E2%2B18y=x%5E2%2B6x%2B18\" \r
\n" ); document.write( "\n" ); document.write( "I have found the center, vertices, and foci, but I can't seem to get the correct answer for the asymptotes.
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Algebra.Com's Answer #490459 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
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document.write( "Hi,
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document.write( "  \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" 
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document.write( "\"9y%5E2%2B18y=x%5E2%2B6x%2B18\"
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document.write( "  \"9%28y%2B1%29%5E2+-+9+-%28x-3%29%5E2+-9+=+18\"
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document.write( "  \"9%28y%2B1%29%5E2+-+%28x-3%29%5E2++=+36\"
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document.write( "  \"%28y%2B1%29%5E2%2F%282%5E2%29+-+%28x-3%29%5E2%2F%286%5E2%29++=+1\"  C(3,-1)
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document.write( "Slope of asymptotes = ± b/a = ± 2/6 = ± 1/3
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document.write( " \"+y%5B1%5D-%28-1%29+=+%281%2F3%29%28x-3%29\"  |Note: asymptotes go thru the C(3,-1)
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document.write( "0r \"y%5B1%5D+=+%281%2F3%29x+-2\"
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document.write( "\"+y%5B2%5D-%28-1%29+=+%28-1%2F3%29%28x-3%29\"
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