document.write( "Question 152673: Consider \"g%28x%29+=+%28x+%2B+2%29%5E3+%2B+2\"; what is the new equation for \"g%28x%29\" if it is shifted up 6 units, shifted right 9 units, shifted down 4 units, shifted left 10 units, shifted down 2 units, and then shifted right 1 unit?
\n" ); document.write( "@ This is definitional.
\n" ); document.write( "a. \"g%28x%29+=+%28x+%2B+11%29%5E3+%2B+14\"
\n" ); document.write( "b. \"g%28x%29+=+%28x+%2B+2%29%5E3+%96+14\"
\n" ); document.write( "c. \"g%28x%29+=+%28x+%2B+7%29%5E3+%2B+6\"
\n" ); document.write( "d. It is still \"g%28x%29+=+%28x+%2B+2%29%5E3+%2B+2\" \n" ); document.write( "
Algebra.Com's Answer #112303 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Consider \"g%28x%29+=+%28x+%2B+2%29%5E3+%2B+2\"; what is the new equation for \"g%28x%29\" if it is shifted up 6 units, shifted right 9 units, shifted down 4 units, shifted left 10 units, shifted down 2 units, and then shifted right 1 unit?
\n" ); document.write( "@ This is definitional.
\n" ); document.write( "a. \"g%28x%29+=+%28x+%2B+11%29%5E3+%2B+14\"
\n" ); document.write( "b. \"g%28x%29+=+%28x+%2B+2%29%5E3+%96+14\"
\n" ); document.write( "c. \"g%28x%29+=+%28x+%2B+7%29%5E3+%2B+6\"
\n" ); document.write( "d. It is still \"g%28x%29+=+%28x+%2B+2%29%5E3+%2B+2\"
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document.write( "Suppose you were in downtown Chicago, and you walked:\r\n" );
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document.write( "North 6 blocks, East 9 blocks, South 4 blocks, West 10 blocks,\r\n" );
document.write( "South 2 blocks, and East 1 block. where would you be?  \r\n" );
document.write( "Answer: Right back where you started!\r\n" );
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document.write( "This problem is similar.\r\n" );
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document.write( "The graph is shifted: \r\n" );
document.write( "up 6 units, \r\n" );
document.write( "right 9 units, \r\n" );
document.write( "down 4 units, \r\n" );
document.write( "left 10 units, \r\n" );
document.write( "down 2 units, \r\n" );
document.write( "right 1 unit.\r\n" );
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document.write( "Get the vertical shifts together:\r\n" );
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document.write( "If you go up 6, down 4, and down 2, you're back where you started,\r\n" );
document.write( "so there is no net vertical change.\r\n" );
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document.write( "Get the horizontal shifts together:\r\n" );
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document.write( "If you go right 9, left 10, and right 1, you're also back where\r\n" );
document.write( "you started, so there is no net horizontal change.\r\n" );
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document.write( "So there is no change at all.\r\n" );
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document.write( "The answer is d.  So you didn't need any shifting rules! \r\n" );
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document.write( "Edwin
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