document.write( "Question 975218: Write the equation of an hyperbola, in standard form, with vertices ( 0,3) and (0,-3) and asymptotes y=3/2x and y=-3/2x \n" ); document.write( "

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Write the equation of an hyperbola, in standard form, with vertices ( 0,3) and (0,-3) and asymptotes y=3/2x and y=-3/2x
\n" ); document.write( "***
\n" ); document.write( "Given hyperbola has a vertical transverse axis.
\n" ); document.write( "Its standard form of equation: $\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"$ , (h,k)=coordinates of center
\n" ); document.write( "center: (0, 0)
\n" ); document.write( "vertices:
\n" ); document.write( "a=3
\n" ); document.write( "a^2=9
\n" ); document.write( "Given slopes of asymptotes with vertical transverse axis=a/b=ą3/2
\n" ); document.write( "b=2a/ą3
\n" ); document.write( "b^2=4a^2/9
\n" ); document.write( "b^2=4*9/9=4
\n" ); document.write( "equation: $\"y%5E2%2F9-x%5E2%2F4=1\"$ \n" ); document.write( "

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