document.write( "Question 52222: Find the equation you get when you move the unit circle up 3 units and left 5 units
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Algebra.Com's Answer #34791 by AnlytcPhil(1807) $\"\"$ $\"About$

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document.write( "Find the equation you get when you move \r\n" );
document.write( "the unit circle up 3 units and left 5 \r\n" );
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document.write( "Rules:\r\n" );
document.write( "1. To move any graph RIGHT h units, we \r\n" );
document.write( "replace x by (x - h) in its equation.\r\n" );
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document.write( "2. To move any graph LEFT h units, we \r\n" );
document.write( "replace x by (x + h) in its equation. \r\n" );
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document.write( "3. To move any graph UP k units we, \r\n" );
document.write( "replace y by (y - k) in its equation.\r\n" );
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document.write( "4. To move any graph DOWN k units, we \r\n" );
document.write( "replace y by (y + k) in its equation.\r\n" );
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document.write( "The unit circle has equation\r\n" );
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document.write( " x² + y² = 1\r\n" );
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document.write( "and its graph looks like this:\r\n" );
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document.write( "So to move its graph up 3 units, \r\n" );
document.write( "we replace y by (y - 3) in that \r\n" );
document.write( "equation and get this new equation:\r\n" );
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document.write( " x² + (y - 3)² = 1\r\n" );
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document.write( "which has this graph \r\n" );
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document.write( "Then to further move it 5 units left, \r\n" );
document.write( "we replace x by (x + 5) in that \r\n" );
document.write( "equation and get this new equation:\r\n" );
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document.write( "(x + 5)² + (y - 3)² = 1\r\n" );
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document.write( "which has this graph:\r\n" );
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document.write( "Edwin

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