document.write( "Question 633543: Find the vertices,asymptotes, and the foci of the hyperbola.\r
\n" ); document.write( "\n" ); document.write( "y^(2)-4x^(2)-6y-32x-59=0
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Algebra.Com's Answer #398966 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Re TY, Yes! Good Work!
\n" ); document.write( "y^(2)-4x^(2)-6y-32x-59=00 ⇒ (y-3)^2 - 4(x+4)^2 = 4
\n" ); document.write( "\"%28y-3%29%5E2%2F2%5E2+-+%28x%2B4%29%5E2%2F1%5E2+=+1\" C(-4,3)
\n" ); document.write( " V(-4, 5) and V(-4,1)
\n" ); document.write( "\"F%5Bd%5D+=+sqrt%285%29\" Foci (-4, 3 ±\"sqrt%285%29\")
\n" ); document.write( "Asymptotes:
\n" ); document.write( " y-3 = 2(x +4) y = 2x +11
\n" ); document.write( "and y-3 = -2(x+4) y = -2x -5
\n" ); document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
\n" ); document.write( " \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" with C(h,k) and vertices 'b' units up and down from center, 2b the length of the transverse axis
\n" ); document.write( "Foci \"sqrt%28a%5E2%2Bb%5E2%29\"units units up and down from center, along x = h
\n" ); document.write( "& Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a
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