document.write( "Question 265122: Using the given equations of parabolas, find the focus, the directrix and the equation of the axis of symmetry.\r
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Algebra.Com's Answer #194988 by Edwin McCravy(20060)\"\" \"About 
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document.write( "The parabola \"x%5E2=4py\" has vertex (0,0), focus (0,p), \r\n" );
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document.write( "equation of directrix y=-p,\r\n" );
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document.write( "equation of axis of symmetry x=0 (the y-axis)\r\n" );
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document.write( "1.) \"y=%281%2F28%29x%5E2\"\r\n" );
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document.write( "Multiply through by 28\r\n" );
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document.write( "\"28y=x%5E2\"\r\n" );
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document.write( "Turn backwards:\r\n" );
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document.write( "\"x%5E2=28y\"\r\n" );
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document.write( "so comparing to \r\n" );
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document.write( "\"x%5E2=4py\"\r\n" );
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document.write( "\"4p=28\"\r\n" );
document.write( "\"p=7\"\r\n" );
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document.write( "So it has vertex (0,0), focus (0,p) = (0,7), \r\n" );
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document.write( "equation of directrix y=-p, or y=-7\r\n" );
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document.write( "equation of axis of symmetry x=0 (the y-axis)\r\n" );
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document.write( "-----------------\r\n" );
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document.write( "The parabola \"y%5E2=4px\" has vertex (0,0), focus (0,p), \r\n" );
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document.write( "equation of directrix x=-p,\r\n" );
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document.write( "equation of axis of symmetry y=0 (the x-axis)\r\n" );
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document.write( "2.) \"x=%281%2F8%29y%5E2\"\r\n" );
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document.write( "Multiply through by 8\r\n" );
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document.write( "\"8x=y%5E2\"\r\n" );
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document.write( "Turn backwards:\r\n" );
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document.write( "\"y%5E2=8x\"\r\n" );
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document.write( "Compare to \r\n" );
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document.write( "\"y%5E2=4px\"\r\n" );
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document.write( "\"4p=8\"\r\n" );
document.write( "\"p=2\"\r\n" );
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document.write( "So it has vertex (0,0), focus (p,0) = (2,0), \r\n" );
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document.write( "equation of directrix x=-p, or x=-2\r\n" );
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document.write( "equation of axis of symmetry y=0 (the x-axis)\r\n" );
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document.write( "Edwin
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