document.write( "Question 822888: Classify each conic section, write it's equation in standard form, and sketch its graph.\r
\n" ); document.write( "\n" ); document.write( " -9x^2+16y^2-18x-32y-137=0 \n" ); document.write( "
Algebra.Com's Answer #495178 by lwsshak3(11628)\"\" \"About 
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Classify each conic section, write it's equation in standard form, and sketch its graph.
\n" ); document.write( "-9x^2+16y^2-18x-32y-137=0
\n" ); document.write( "rearrange terms:
\n" ); document.write( "16y^2-32y-9x^2-18x=137
\n" ); document.write( "complete the square:
\n" ); document.write( "16(y^2-2y+1)-9(x^2+2x+1)=137+16-9
\n" ); document.write( "16(y-1)^2-9(x+1)^2=144
\n" ); document.write( "\"%28y-1%29%5E2%2F9-%28x%2B1%29%5E2%2F16=1\"
\n" ); document.write( "This is an equation of a hyperbola with vertical transverse axis.
\n" ); document.write( "Its standard form:\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\", (h,k)=(x,y) coordinates of center\r
\n" ); document.write( "\n" ); document.write( "see graph below:
\n" ); document.write( "y=±(9+(9/16)*(x+1)^2)^.5+1\r
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