document.write( "Question 547160: Identify the vertices, foci, and assymptotes and graph\r
\n" ); document.write( "\n" ); document.write( "X^2/9 - y^2/9 = 1 \n" ); document.write( "
Algebra.Com's Answer #356949 by lwsshak3(11628)\"\" \"About 
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Identify the vertices, foci, and assymptotes and graph
\n" ); document.write( "X^2/9 - y^2/9 = 1
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\n" ); document.write( "Given equation is that of a hyperbola with horizontal transverse axis. Its standard form:
\n" ); document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1
\n" ); document.write( "For equation of given hyperbola:
\n" ); document.write( "center:(0,0)
\n" ); document.write( "a^2=9
\n" ); document.write( "a=3
\n" ); document.write( "coordinates of the vertices: (3,0) and (-3,0)
\n" ); document.write( "..
\n" ); document.write( "b^2=9
\n" ); document.write( "b=3
\n" ); document.write( "c^2=a^2+b^2=9+9=18
\n" ); document.write( "c=√18≈4.24
\n" ); document.write( "coordinates of Foci: (√18,0) and (-√18,0)
\n" ); document.write( "..
\n" ); document.write( "slope of asymptotes=±b/a=±1
\n" ); document.write( "Equation of asymptotes: y=±x
\n" ); document.write( "see graph below as a visual check on above
\n" ); document.write( "y=±(x^2-9)^.5
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