document.write( "Question 1151527: If the point P given below is on the graph of a function f, find the corresponding point on the graph of g.
\n" ); document.write( "P= (2,7), g(x)=f(x-3)-2 \n" ); document.write( "
Algebra.Com's Answer #773301 by ikleyn(52863)\"\" \"About 
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document.write( "You are given\r\n" );
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document.write( "    f(2) = 7.\r\n" );
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document.write( "It is the exact meaning of this fragment  from the post  \"the point P = (2,7) is on the graph of a function f\".\r\n" );
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document.write( "Take  x-3 = 2,  i.e.  x = 2+3 = 5.   \r\n" );
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document.write( "Then  \r\n" );
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document.write( "      g(5) = f(x-3) - 2 = f(5-3) - 2 = f(2) - 2 = (at this point recall that f(2) = 7, so you can continue the equality) = 7 - 2 = 5.\r\n" );
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document.write( "Thus the corresponding point on the graph of the function g  is  Q = (5,5).\r\n" );
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document.write( "ANSWER.  The corresponding point on the graph of the function g  is  Q = (5,5).\r\n" );
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document.write( "    The \"corresponding point\" in this context is the point, whose coordinates you can calculate, \r\n" );
document.write( "    starting from the given point P and using the given definition of the function g.\r\n" );
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