document.write( "Question 716101: find an equation of the hyperbola with vertices at (-6, 1) and (4, 1) and foci at (-8, 1) and (6, 1) \n" ); document.write( "

Algebra.Com's Answer #440162 by lwsshak3(11628) $\"\"$ $\"About$

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find an equation of the hyperbola with vertices at (-6, 1) and (4, 1) and foci at (-8, 1) and (6, 1)
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\n" ); document.write( "Standard form of a hyperbola with horizontal transverse axis:
\n" ); document.write( " $\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$ , (h,k)=(x,y) coordinates of vertex.
\n" ); document.write( "y-coordinate of center=1
\n" ); document.write( "x-coordinate of center=(-6+4)/2=-1 (midpoint formula)
\n" ); document.write( "center: (-1, 1)
\n" ); document.write( "a=5 (distance from center to vertex, (-1 to - 6) on the horizontal transverse axis)
\n" ); document.write( "a^2=25
\n" ); document.write( "c=7 (distance from center to focus, (-1 to - 8) on the horizontal transverse axis)
\n" ); document.write( "c^2=49
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=49-25=24
\n" ); document.write( "Equation of given hyperbola:
\n" ); document.write( " $\"%28x%2B1%29%5E2%2F25-%28y-1%29%5E2%2F24=1\"$
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