document.write( "Question 464909: Write an equation for the hyperbola with vertices (0,4) and (0,-4) if the length of the conjugate axis is 6 units. \n" ); document.write( "
Algebra.Com's Answer #318614 by lwsshak3(11628)\"\" \"About 
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Write an equation for the hyperbola with vertices (0,4) and (0,-4) if the length of the conjugate axis is 6 units.
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\n" ); document.write( "Given data shows this is a hyperbola with center of at (0,0), and a vertical transverse axis.
\n" ); document.write( "length of transverse axis=8=2a
\n" ); document.write( "a=4
\n" ); document.write( "a^2=16
\n" ); document.write( "Length of conjugate axis =6=2b
\n" ); document.write( "b=3
\n" ); document.write( "b^2=9
\n" ); document.write( "Standard form of hyperbola with vertical transverse axis: (y-k)^2/a^2+(x-h)^2/9=1
\n" ); document.write( "For given problem:
\n" ); document.write( "Equation: y^2/16-x^2/9=1
\n" ); document.write( "see graph below as a visual check\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "y=(16+16x^2/9)^.5
\n" ); document.write( "±4x/3
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