document.write( "Question 860391: Find the center, vertices,and foci of the hyperbola (4,-1)c given by the equation (x + 1) ^2/9 - (y+4)^2/7 = 1 Please give all necessary steps on how to solve so I can understand. thank you! \n" ); document.write( "
Algebra.Com's Answer #518405 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
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document.write( "Hi,
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document.write( "\"%28x+%2B+1%29+%5E2%2F+highlight_green%283%5E2%29++-+%28y%2B4%29%5E2%2F7+=+1\"  C(-1, -4)
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document.write( "Hyperbola \"%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1\"opening left and right along y = -4
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document.write( "vertices at (-4,-4)and (2,-4) vertices 3 units left and right of center (-1, -4), 
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document.write( "foci: \"sqrt%289%2B7%29+=+4\" foci 4 units left and right of center (-1, -4)
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document.write( "foci: (-5,-4)and (3,-4)\r
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document.write( "Standard Form of an Equation of an Hyperbola opening left and right is:
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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
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document.write( "Foci are \"sqrt%28a%5E2%2Bb%5E2%29\" units right and left of center along y = k
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document.write( "& Asymptotes Lines passing thru C(h,k), with slopes  m =  ± b/a  \n" );
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