document.write( "Question 1067781: Write the equation of a hyperbola with a center at (-5,-3), vertices at (-5,-5) and (-5,-1) and co vertices at (-11,-3) and (1,-3)\r
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Algebra.Com's Answer #682931 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "The equation of a hyperbola that opens upward and downward has\r\n" );
document.write( "general equation\r\n" );
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document.write( "where (h,k) is the center, a = half the transverse axis,\r\n" );
document.write( "b = half the conjugate axis.\r\n" );
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document.write( "(h,k) = (-5,-3)\r\n" );
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document.write( "The red vertical line is the transverse axis. It is 4 units long.\r\n" );
document.write( "The semi-transverse axis is half the transverse axis, so a=2\r\n" );
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document.write( "The blue horizontal line is the conjugate axis. It is 12 units long.\r\n" );
document.write( "The semi-transverse axis is half the conjugate axis, so b=6\r\n" );
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document.write( "So the equation of the hyperbola, which is what you want, is\r\n" );
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document.write( "The green rectangle is the \"defining rectangle\".  The slanted green\r\n" );
document.write( "lines are the extended diagonals of the defining rectangle.  They are \r\n" );
document.write( "the asymptotes of the hyperbola.\r\n" );
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document.write( "Edwin

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