document.write( "Question 859896: Find the center, vertices, and foci of the hyperbola given by the equation ((x+1)^2/9) - ((y+4)^2/7) = 1. I have that the center is (4,-1) from my own work. I'm having difficulty finding the vertices and foci, as the book does not explain this well. Thank you for your help! \n" ); document.write( "
Algebra.Com's Answer #518053 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "\"%28x%2B1%29%5E2%2F3%5E2+-+%28y%2B4%29%5E2%2F7+=+1\" C(-1,-4) watch your x's and y's
\n" ); document.write( "vertices 3 units right and left of Center: (-4,-4) and (2,-4)
\n" ); document.write( "foci sqrt(9+7) = 4. Foci 4 units right and left of Center: (-5,-4)and (3, -4)
\n" ); document.write( "Standard Form of an Equation of an Hyperbola opening right and left is:
\n" ); document.write( " \"%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1\" with C(h,k) and vertices 'a' units right and left of center, 2a the length of the transverse axis
\n" ); document.write( "Foci are \"sqrt%28a%5E2%2Bb%5E2%29\" units right and left of center along y = k
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