For a simple intro to function transformations, check out the following site:
http://www.mathsisfun.com/sets/function-transformations.html
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f(x) = (x+2)2
To move f(x) 4 units to the right, subtract 4 from x within the parentheses:
f(x-4) = (x+2-4)2 = (x-2)2
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f(x) = x2 + 7
To move f(x) up 10 units, simply add 10 to f(x)
f(x) + 10 = x2 + 7 + 10 = x2 + 17