document.write( "Question 852319: Find an equation for the hyperbola with foci (−3,−1) and (−3, 9) and asymptotes y = −3x/4 25/4 y = 3x/4 + 25/4 . Write your answer in the form (y-d)^2/a^2 -(x-c)^2/b^2 =1.\r
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Algebra.Com's Answer #513304 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
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\n" ); document.write( "foci (-3,-1) and (-3, 9) says it opens Up and Down C(-3, 4)the 4 halfway between \"%289+%2B+-1%29%2F2+=+4\"
\n" ); document.write( "Foci distance from center = 5 |5 = \"sqrt%28a%5E2%2Bb%5E2%29\"
\n" ); document.write( "slope of asymptotes = ± 3/4 says b/a = 3/4 and 5 = \"sqrt%283%5E2%2B4%5E2%29\"
\n" ); document.write( "\"%28y-4%29%5E2%2F3%5E2+-+%28x%2B3%29%5E2%2F4%5E2%7C%5E2+=+1\"
\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 ) ± b/a
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