document.write( "Question 650465: write an equation for the hyperbola that satisfies the given set of conditions.
\n" ); document.write( "vertices (-4,1) and (-4,9), foci (-4,5ą√97) \n" ); document.write( "

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write an equation for the hyperbola that satisfies the given set of conditions.
\n" ); document.write( "vertices (-4,1) and (-4,9), foci (-4,5ą√97)
\n" ); document.write( "**
\n" ); document.write( "Standard form of equation for given hyperbola with vertical transverse axis:
\n" ); document.write( " $\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"$ , (h,k)=(x,y) coordinates of center.
\n" ); document.write( "...
\n" ); document.write( "center:(-4,5)
\n" ); document.write( "length of transverse axis=8 (1 to 9)=2a
\n" ); document.write( "a=4
\n" ); document.write( "a^2=16
\n" ); document.write( "..
\n" ); document.write( "Foci:
\n" ); document.write( "c=√97
\n" ); document.write( "c^2=97
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=97-16=81
\n" ); document.write( "..
\n" ); document.write( "Equation of given hyperbola:
\n" ); document.write( " $\"%28y-5%29%5E2%2F16-%28x%2B4%29%5E2%2F81=1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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