document.write( "Question 741932: Find an equation for the hyperbola describes.
\n" ); document.write( "Center at (2,1); focus at (-5,1); vertex at (1,1) \n" ); document.write( "

Algebra.Com's Answer #452222 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find an equation for the hyperbola describes.
\n" ); document.write( "Center at (2,1); focus at (-5,1); vertex at (1,1)
\n" ); document.write( "***
\n" ); document.write( "Hyperbola as described has a horizontal transverse axis. (x-coordinates change but y-coordinates do not.)
\n" ); document.write( "Its 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( "For given hyperbola:
\n" ); document.write( "center: (2,1) (given)
\n" ); document.write( "a=1(distance from center to vertex on the horizontal transverse axis)(2 to 1)
\n" ); document.write( "a^2=1
\n" ); document.write( "c=7(distance from center to focus on the horizontal transverse axis)(2 to -5)
\n" ); document.write( "c^2=49
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=49-1=48
\n" ); document.write( "Equation of given hyperbola:
\n" ); document.write( " $\"%28x-2%29%5E2-%28y-1%29%5E2%2F48=1\"$ \n" ); document.write( "

\n" );