document.write( "Question 838944: Foci (-5,0) (5,0) and Vertices (-7,0) (7,0). Give the general form of the equation of the ellipse. \n" ); document.write( "
Algebra.Com's Answer #505434 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi,
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document.write( "Note:**** Standard Form of an Equation of an Ellipse is \"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+\" 
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document.write( "where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
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document.write( " a and b  are the respective vertices distances from center
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document.write( " and ±\"sqrt%28a%5E2-b%5E2%29\"are the foci distances from center: a > b\r
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document.write( "Recommend sketching it...Foci (-5,0) (5,0) and Vertices (-7,0) (7,0).
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document.write( "then using \"sqrt%287%5E2-b%5E2%29=+5\" to find b
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document.write( "49 - b^2 = 25, b = ± \"sqrt%2824%29\"
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document.write( "\"x%5E2%2F49+%2B+y%5E2%2F24+=+1\"
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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+\" 
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document.write( "where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
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document.write( " a and b  are the respective vertices distances from center
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document.write( " 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 up and down is:
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document.write( "  \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" with C(h,k) and vertices 'b' units up and down from center,  2b the length of the transverse axis
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document.write( "Foci \"sqrt%28a%5E2%2Bb%5E2%29\"units units up and down from center, along x = h
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document.write( "& Asymptotes Lines passing thru C(h,k), with slopes m =  ± b/a\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,   2a the length of the transverse axis
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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 \r
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document.write( "the vertex form of a Parabola opening up(a>0) or down(a<0), \"y=a%28x-h%29%5E2+%2Bk\" 
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document.write( "where(h,k) is the vertex  and  x = h  is the Line of Symmetry
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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(a>0) or left(a<0), \"x=a%28y-k%29%5E2+%2Bh\"
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document.write( " where(h,k) is the vertex and  y = k  is the Line of Symmetry
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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 )\r
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