document.write( "Question 959130: Find an equation for the hyperbola that satisfies the given conditions: Vertices: (0, ±12), hyperbola passes through (−5, 18) \n" ); document.write( "
Algebra.Com's Answer #586266 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Find an equation for the hyperbola that satisfies the given conditions: Vertices: (0, ±12), hyperbola passes through (−5, 18)
\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( "For given hyperbola:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a=12
\n" ); document.write( "a^2=144
\n" ); document.write( "equation:\"y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1\"
\n" ); document.write( "using coordinates of given point (-5,18)
\n" ); document.write( "18^2/144-5^2/b^2=1
\n" ); document.write( "2.25-25/b^2=1
\n" ); document.write( "25/b^2=2.25-1=1.25=5/4
\n" ); document.write( "b^2=25/(5/4)=20
\n" ); document.write( "equation:\"y%5E2%2F144-x%5E2%2F20=1\"
\n" ); document.write( " \n" ); document.write( "
\n" );