document.write( "Question 620936: Identify the conic section. If it is a parabola, give the vertex. If it is an ellipse or hyperbola, give the center and the foci. \r
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Algebra.Com's Answer #390469 by lwsshak3(11628)\"\" \"About 
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Identify the conic section. If it is a parabola, give the vertex. If it is an ellipse or hyperbola, give the center and the foci.
\n" ); document.write( "8x^2-6y^2+48x-24y+0=0
\n" ); document.write( "8x^2+48x-6y^2-24y+0=0
\n" ); document.write( "complete the square
\n" ); document.write( "8(x^2+6x+9)-6(y^2+4y+4)=72-24
\n" ); document.write( "8(x+3)^2-6(y+2)^2=48
\n" ); document.write( "(x+3)^2/6-(y+2)^2/8=1
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis
\n" ); document.write( "Its standard form: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given hyperbola:
\n" ); document.write( "center: (-3,-2)
\n" ); document.write( "a^2=6
\n" ); document.write( "b^2=8
\n" ); document.write( "c^2=a^2+b^2=6+8=14
\n" ); document.write( "c=√14≈3.7
\n" ); document.write( "foci: (-3±c,-2)=(-3±3.7,-2)=(-6.7,-2) and (0.7,-2)
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