document.write( "Question 860398: Find the equation in standard form of the hyperbola with vertices at (7,-1_ and (1, -1_ and foci (9,-1_ and (-1, -1). Not sure of any of the steps so please show me steps if possible. \n" ); document.write( "
Algebra.Com's Answer #518402 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi,
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document.write( "Vertices (7,-1) and (1, -1) and foci (9,-1) and (-1, -1) Note: repeat of y = -1
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document.write( "Hyperbola \"%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1\"opening right and left along y = -1
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document.write( "\"%28x-h%29%5E2%2Fa%5E2+-+%28y%2B1%29%5E2%2Fb%5E2+=+1\" 
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document.write( "Vertices (7,-1) and (1, -1),  h = \"%287%2B1%29%2F2+\"= 4  ⇒ foci are 3 units right and left of center (4, -1),  a = 3
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document.write( "\"%28x-4%29%5E2%2F3%5E2+-+%28y%2B1%29%5E2%2Fb%5E2+=+1\"
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document.write( "foci (9,-1)_ and (-1, -1). 5 units right and left of center (4, -1) \"sqrt%289+%2B+b%5E2%29\" = 5, b^2 = 16, b = 4
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document.write( "\"%28x-4%29%5E2%2F3%5E2+-+%28y%2B1%29%5E2%2F4%5E2+=+1\"\r
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document.write( "Standard Form of an Equation of an Hyperbola opening right and  left 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 
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