document.write( "Question 741920: Find an equation for the hyperbola described.
\n" ); document.write( "Vertices at (2,0) and (-2,0); foci at (4,0) and (-4,0) \n" ); document.write( "

Algebra.Com's Answer #452210 by lwsshak3(11628) $\"\"$ $\"About$

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Find an equation for the hyperbola described.
\n" ); document.write( "Vertices at (2,0) and (-2,0); foci at (4,0) and (-4,0)
\n" ); document.write( "***
\n" ); document.write( "Given hyperbola has a horizontal transverse axis:
\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:(0,0)
\n" ); document.write( "a=2 (distance from center to vertices)
\n" ); document.write( "a^2=4
\n" ); document.write( "c=4 (distance from center to foci)
\n" ); document.write( "c^2=16
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=16-4=12
\n" ); document.write( "Equation:
\n" ); document.write( " $\"x%5E2%2F4-y%5E2%2F12=1\"$
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