document.write( "Question 386857: write an equation for the hyperbola that satisfies each set of conditions. vertices (0,-4) and (0,4), conjugate axis of length 14 units \n" ); document.write( "
Algebra.Com's Answer #277859 by lwsshak3(11628)\"\" \"About 
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Standard forms of a hyperbola
\n" ); document.write( "(x-h)^2/a^2-(y-k)^2/b^2 = 1 (transverse axis horizontal)
\n" ); document.write( "(y-k)^2/a^2-(x-h)^2/b^2 = 1 (transverse axis vertical)
\n" ); document.write( "coordinates of given vertices show that transverse axis vertical with center of hyperbola at the origin (0,0)
\n" ); document.write( "this also means the y-term comes first, and h=0 and k=0\r
\n" ); document.write( "\n" ); document.write( "transverse axis, 8=2a
\n" ); document.write( "a=4
\n" ); document.write( "a^2=16
\n" ); document.write( "from given conjugate axis, 14=2b
\n" ); document.write( "b=7
\n" ); document.write( "b^2=49\r
\n" ); document.write( "\n" ); document.write( "ans: equation of hyperbola, y^2/16-x^2/49 =1\r
\n" ); document.write( "\n" ); document.write( "see the following graph\r
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