document.write( "Question 712007: I need to write an equation for a hyperbola that has the vertices (-4,1) and (-4,9) and foci at (-4,5+-rad97) \n" ); document.write( "
Algebra.Com's Answer #437722 by lwsshak3(11628)\"\" \"About 
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I need to write an equation for a hyperbola that has the vertices (-4,1) and (-4,9) and foci at (-4,5±√97)
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\n" ); document.write( "Given hyperbola has a vertical transverse axis.
\n" ); document.write( "Its standard form:\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\", (h,k)=(x,y) coordinates of center.
\n" ); document.write( "..
\n" ); document.write( "x-coordinate of center=-4
\n" ); document.write( "y-coordinate of center=5 (midpoint between 1 and 9)
\n" ); document.write( "center: (-4,5)
\n" ); document.write( "length of transverse axis=8 (from 1 to 9)=2a
\n" ); document.write( "a=4
\n" ); document.write( "a^2=16
\n" ); document.write( "..
\n" ); document.write( "c=√97 (distance from center to foci)
\n" ); document.write( "c^2=97
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=97-16=81
\n" ); document.write( "Equation of given hyperbola:
\n" ); document.write( "\"%28y-5%29%5E2%2F16-%28x%2B4%29%5E2%2F81=1\" \n" ); document.write( "
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