document.write( "Question 744294: Find the equation for the hyperbola with foci (4,6) and (-8,6) and a transverse axis length of 8 \n" ); document.write( "
Algebra.Com's Answer #453247 by lwsshak3(11628)\"\" \"About 
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Find the equation for the hyperbola with foci (4,6) and (-8,6) and a transverse axis length of 8
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\n" ); document.write( "Given hyperbola has a horizontal transverse axis.
\n" ); document.write( "Its standard form of equation: \"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\", (h,k)=(x,y) coordinates of center.
\n" ); document.write( "For given hyperbola:
\n" ); document.write( "center: (-2, 6)
\n" ); document.write( "length of transverse axis=8=2a
\n" ); document.write( "a=4
\n" ); document.write( "a^2=16
\n" ); document.write( "c=6 (distance from center to foci on the transverse axis)
\n" ); document.write( "c^2=36
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=36-16=20
\n" ); document.write( "Equation of given hyperbola:
\n" ); document.write( "\"%28%28x%2B2%29%5E2%2F16%29-%28%28y-6%29%5E2%2F20%29=1\" \n" ); document.write( "
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