document.write( "Question 829467: Find the exact horizontal and vertical shifts of this function (don't use decimals in the answer(s))
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Algebra.Com's Answer #499879 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"y\"\"%22%22=%22%22\"\"-pi%2F3%2Bsin%282x%2Bpi%29\"\r\n" );
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document.write( "We factor out the 2\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-pi%2F3%2Bsin%282%28x%2Bpi%2F2%29%29\"\r\n" );
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document.write( "The basic graph is \r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"sin%28x%29\" \"graph%28400%2C100%2C-.5%2C2pi%2C-1.1%2C1.1%2Csin%28x%29%29\"\r\n" );
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document.write( "Then x was replaced by 2x, which caused the graph to shrink horizontally\r\n" );
document.write( "by a factor of 2. \r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"sin%282x%29\" \"graph%28200%2C100%2C-.5%2Cpi%2C-1.1%2C1.1%2Csin%282x%29%29\"\r\n" );
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document.write( "Then x was replaced by \"%28x%2Bpi%2F2%29\" which caused a left shift of \"pi%2F2\",\r\n" );
document.write( "or the horizontal shift is \"-pi%2F2\"  \r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"sin%282%28x%2Bpi%2F2%29%29\"  \"graph%28200%2C100%2C-.5-pi%2F2%2Cpi%2F2%2C-1.1%2C1.1%2Csin%282x%2Bpi%29%29\"\r\n" );
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document.write( "Then \"-pi%2F3\" was added to the right side which caused a vertical shift\r\n" );
document.write( "of \"pi%2F3\" units down or a vertical shift of \"-pi%2F3\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-pi%2F3%2Bsin%282%28x%2Bpi%2F2%29%29\" \r\n" );
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document.write( "You only asked about the horizontal shift and the vertical shift.\r\n" );
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document.write( "The horizontal shift is \"-pi%2F2\", a left shift\r\n" );
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document.write( "The vertical shift is \"-pi%2F3\", a downward shift.\r\n" );
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document.write( "Edwin
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