document.write( "Question 759156: Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
\n" ); document.write( "Vertices: (±1, 0); asymptotes: y = ±7x \n" ); document.write( "
Algebra.Com's Answer #461914 by lwsshak3(11628)\"\" \"About 
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Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
\n" ); document.write( "Vertices: (±1, 0); asymptotes: y = ±7x
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\n" ); document.write( "Given hyperbola has a horizontal transverse axis as noted from given coordinates of vertices:
\n" ); document.write( "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( "Given center:(0,0)
\n" ); document.write( "a=1(distance from center to vertices)
\n" ); document.write( "a^2=1
\n" ); document.write( "..
\n" ); document.write( "slope of asymptotes=±7
\n" ); document.write( "slopes of asymptotes of hyperbolas with horizontal transverse axis=b/a=±7
\n" ); document.write( "b=±7a
\n" ); document.write( "b=49a^2=49
\n" ); document.write( "Standard form of equation of the hyperbola: \"x%5E2-y%5E2%2F49=1\" \n" ); document.write( "
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