document.write( "Question 1085007: Arrange the problem is represented by the equations in increasing order with respect to the Y values of the directrixes.
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Algebra.Com's Answer #699052 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"y=ax%5E2%2Bbx%2Bc\"\r\n" );
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document.write( "\"ax%5E2%2Bbx%2Bc=y\"\r\n" );
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document.write( "\"ax%5E2%2Bbx=y-c\"\r\n" );
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document.write( "\"x%5E2%2Bexpr%28b%2Fa%29x=expr%281%2Fa%29y-c%2Fa\"\r\n" );
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document.write( "Complete the square on the left:\r\n" );
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document.write( "       \"expr%28b%2Fa%29%2Aexpr%281%2F2%29=b%2F%282a%29\"\r\n" );
document.write( "       \"%28b%2F%282a%29%29%5E2=b%5E2%2F%284a%5E2%29\"\r\n" );
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document.write( "\"%28x%2Bb%2F%282a%29%29%5E2=%281%2Fa%29%28y-%284ac-b%5E2%29%2F%284a%5E%22%22%29%29\"\r\n" );
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document.write( "Compare to\r\n" );
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document.write( "\"%28x-h%29%5E2=4p%28y-k%29\"\r\n" );
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document.write( "\"h=-b%2F%282a%29\", \"k=%284ac-b%5E2%29%2F%284a%5E%22%22%29\", \"4p=1%2Fa\", \"p=1%2F%284a%29\"\r\n" );
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document.write( "The equation of the directrix is \r\n" );
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document.write( "\"y+=+%284ac-b%5E2%2B1%29%2F%284a%5E%22%22%29\" <-- equation of directrix\r\n" );
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document.write( "----------------------\r\n" );
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document.write( "y=-x^2+3x+8, substitute in above, a=1, b=3, c=8, directrix: y = 6 \r\n" );
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document.write( "y=2x^2+15x+18, substitute a=2, b=15, c=18, directrix: y = -10 \r\n" );
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document.write( "y=x^2+13x+5, substitute a=2, b=13, c=5, directrix: y = -37 \r\n" );
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document.write( "y=-2x^2+4x+8, substitute a=-2, b=4, c=8, directrix: y = 9.975\r\n" );
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document.write( "Edwin
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