document.write( "Question 354336: suppose that f and g are functions. Suppose further that we can write g in terms of f as follows:\r
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Algebra.Com's Answer #253245 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
suppose that f and g are functions. Suppose further that we can write g in terms of f as follows:
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\n" ); document.write( "I am at a loss of how to even break this down into a description with words. Can anyone explain this to me? Thank you, thank you in advance.\r
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document.write( "We begin by starting with f(x) and building up the new expressing by\r\n" );
document.write( "following this order of operations.  I am giving you all of them but\r\n" );
document.write( "for this problem you only need to use steps 5 and 6:\r\n" );
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document.write( "1. Replace x by -x to reflect the graph horizontally across the y-axis.\r\n" );
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document.write( "2. Replace x by ax, a > 0 to shrink the graph horizontally if a > 1 or stretch\r\n" );
document.write( "the graph horizontally if positive number a < 1, by a factor of a.\r\n" );
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document.write( "3. Multiply the entire expression by positive number b to shrink the graph\r\n" );
document.write( "vertically if b < 1, or stretch the graph vertically if b > 1, by a factor of\r\n" );
document.write( "b.  \r\n" );
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document.write( "4. Multiply the entire expression by -1 to reflect the graph across the x-axis.\r\n" );
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document.write( "5. Replace x by (x-c), c > 0, to shift the graph right c units, or by (x+c)\r\n" );
document.write( "to shift the graph left c units.\r\n" );
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document.write( "6. Add d, d > 0, to the right side of the entire expression to shift the graph\r\n" );
document.write( "upward by d units, or subtract d from the right side to shift the graph\r\n" );
document.write( "downward by d units.\r\n" );
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document.write( "As I said above, you only need steps 5 and 6, to go from \r\n" );
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document.write( "f(x) \r\n" );
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document.write( "to \r\n" );
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document.write( "f(x-3)+5\r\n" );
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document.write( "We start with \r\n" );
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document.write( "f(x)\r\n" );
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document.write( "We use (5)\r\n" );
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document.write( "We replace x by (x-3), 3 > 0, to shift the graph right 3 units\r\n" );
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document.write( "We get:\r\n" );
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document.write( "f(x-3)\r\n" );
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document.write( "We use (6)\r\n" );
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document.write( "We add 5, d > 0, to the right side of the entire expression to shift the graph\r\n" );
document.write( "upward by 5 units.\r\n" );
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document.write( "We get\r\n" );
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document.write( "f(x-3)+5\r\n" );
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document.write( "So the transformations are \r\n" );
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document.write( "Shift the graph right 3 units, then shift the graph upward 5 units.\r\n" );
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document.write( "Edwin
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