document.write( "Question 608941: Equation of a hyperbola\r
\n" ); document.write( "\n" ); document.write( "2x^2-y^2-12x-2y=55 \n" ); document.write( "
Algebra.Com's Answer #383469 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi
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document.write( "2x^2-y^2-12x-2y=55
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document.write( "2(x-3)^2 -18 -(y+1)^2 + 2 -55 =0  || completing the Square
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document.write( "2(x-3)^2 - (y+1)^2 = 71 
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document.write( "\"%28x-3%29%5E2%2F35.5+-+%28y%2B1%29%5E2%2F71+=+1\"
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document.write( "Note: 
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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\" where Pt(h,k) is a center  with vertices 'a' units right and left of center.\r
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document.write( "See below descriptions of various conics                         
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document.write( "Standard Form of an Equation of a Circle is \"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\" 
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document.write( "where Pt(h,k) is the center and r is the radius\r
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document.write( " Standard Form of an Equation of an Ellipse is \"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+\" where Pt(h,k) is the center. (a positioned to correspond with major axis)
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document.write( " a and b  are the respective vertices distances from center and ±\"sqrt%28a%5E2-b%5E2%29\"are the foci distances from center: a > b\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\" where Pt(h,k) is a center  with vertices 'a' units right and left of center.\r
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document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
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document.write( "  \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" where Pt(h,k) is a center  with vertices 'b' units up and down from center.\r
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document.write( "the vertex form of a parabola opening up or down, \"y=a%28x-h%29%5E2+%2Bk\" where(h,k) is the vertex.
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document.write( "The standard form is \"%28x+-h%29%5E2+=+4p%28y+-k%29\", where  the focus is (h,k + p)\r
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document.write( "the vertex form of a parabola opening right or left, \"x=a%28y-k%29%5E2+%2Bh\" where(h,k) is the vertex.
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document.write( "The standard form is \"%28y+-k%29%5E2+=+4p%28x+-h%29\", where  the focus is (h +p,k ) \n" );
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