document.write( "Question 608618: Classify the conic section, write it's equation in standard form, and graph.
\n" ); document.write( "Y^2-2y-4x-7=0 \n" ); document.write( "
Algebra.Com's Answer #383329 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi
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document.write( "Classify the conic section, write it's equation in standard form, and graph.
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document.write( "y^2-2y-4x-7=0
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document.write( "(y-1)^2-1 - 4x-7 = (y-1)^2-4x-8 = 0  OR  (1/4)(y-1)^2 -2 =x
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document.write( "\"+x+=+%281%2F4%29%28y-1%29%5E2+-2+\"
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document.write( "Note:
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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.  V(-2,1)
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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) \"%28y-1%29%5E2+=+4%28x%2B2%29\"
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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( "\n" );
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( "\n" );
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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