document.write( "Question 812837: What type of conic section is the following equation?\r
\n" ); document.write( "\n" ); document.write( "4x2 + y2 = 36 \n" ); document.write( "
Algebra.Com's Answer #489353 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi\r
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document.write( "What type of conic section is the following equation?\r
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document.write( "4x2 + y2 = 36
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document.write( "x^2/9 + y^2/36 = 1   This is an Ellipse, see below.\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+\" 
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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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