document.write( "Question 623488: What is the standard form of the hyperbola with foci at (±4,0) and vertices at (±3,0)? \n" ); document.write( "
Algebra.Com's Answer #392264 by lwsshak3(11628)\"\" \"About 
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What is the standard form of the hyperbola with foci at (±4,0) and vertices at (±3,0)?
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\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis:
\n" ); document.write( "Its standard form of equation: (x-h)^2,a^2-(y-k)^2=1, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given hyperbola:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "From vertices,length of transverse axis=6=2a
\n" ); document.write( "a=3
\n" ); document.write( "a^2=9
\n" ); document.write( "..
\n" ); document.write( "From foci, 2c=8
\n" ); document.write( "c=4
\n" ); document.write( "c^2=16
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=16-9=7
\n" ); document.write( "b=√7
\n" ); document.write( "..
\n" ); document.write( "Equation:
\n" ); document.write( "x^2/9-y^2/7=1\r
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