document.write( "Question 591655: write an equation in standard form of the hyperpola with foci at (+3, 0) (-3,0) if the difference in the distances from a poin (x,y) on the hyperbola to the foci is 4 \n" ); document.write( "

Algebra.Com's Answer #375780 by lwsshak3(11628) $\"\"$ $\"About$

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write an equation in standard form of the hyperpola with foci at (+3, 0) (-3,0) if the difference in the distances from a poin (x,y) on the hyperbola to the foci is 4.
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\n" ); document.write( "Standard form of equation for a hyperbola with horizontal transverse axis:
\n" ); document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given hyperbola:
\n" ); document.write( "center:(0,0)
\n" ); document.write( "Difference in distances from a point (x,y) on the hyperbola to each of the foci is 4=2a
\n" ); document.write( "a=2
\n" ); document.write( "a^2=4
\n" ); document.write( "c=3
\n" ); document.write( "c^2=9
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=9-4=5
\n" ); document.write( "Equation of given hyperbola:
\n" ); document.write( "x^2/4-y^2/5=1
\n" ); document.write( " \n" ); document.write( "

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