document.write( "Question 890186: what is the foci and asymptotes of the hyperbola 4x^-y^2=1
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Algebra.Com's Answer #538860 by lwsshak3(11628)\"\" \"About 
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what is the foci and asymptotes of the hyperbola 4x^2-y^2=1
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\n" ); document.write( "Given hyperbola has a horizontal transverse axis with center at the origin.
\n" ); document.write( "Its standard form of equation:
\n" ); document.write( "\"x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1\"
\n" ); document.write( "For given hyperbola:
\n" ); document.write( "center:(0,0)
\n" ); document.write( "4x^2-y^2=1
\n" ); document.write( "x^2/(1/4)-y^2=1
\n" ); document.write( "a^2=1/4
\n" ); document.write( "a=1/2
\n" ); document.write( "b^2=1
\n" ); document.write( "b=1
\n" ); document.write( "c^2=a^2+b^2=1/4+1=5/4
\n" ); document.write( "c=√5/2
\n" ); document.write( "foci: (0±c, 0)=0±√5/2,0)=(√5/2,0) and (-√5/2,0)
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\n" ); document.write( "slope of asymptotes: ±b/a=±1/(1/2)=±2
\n" ); document.write( "equation of asymptotes:
\n" ); document.write( "y=-2x
\n" ); document.write( "and
\n" ); document.write( "y=2x\r
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