document.write( "Question 875663: Write an equation for a hyperbola with its center at (2, 3), one vertex at (7, 3), and one focus at (14, 3).
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #528410 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Write an equation for a hyperbola with its center at (2, 3), one vertex at (7, 3), and one focus at (14, 3).
\n" ); document.write( "***
\n" ); document.write( "Given data show hyperbola has a horizontal transverse axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$ , (h,k) = coordinates of center
\n" ); document.write( "center: (2,3) (given)
\n" ); document.write( "a=5 (distance from center to vertices)
\n" ); document.write( "a^2=25
\n" ); document.write( "c=12 (distance from center to foci)
\n" ); document.write( "c^2=144
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=144-25=119
\n" ); document.write( "equation: $\"%28x-2%29%5E2%2F25-%28y-3%29%5E2%2F119=1\"$ \n" ); document.write( "

\n" );