document.write( "Question 1151529: If the point P given below is on the graph of a function f, find the corresponding point on the graph of g.
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document.write( "P=(-12,4),g(x)=-f(x)+5 \n" );
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Algebra.Com's Answer #773303 by ikleyn(52873) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "You are given\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " f(-12) = 4.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the exact meaning of this fragment from the post \"the point P = (-12,4) is on the graph of a function f\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Take x = -12. \r\n" ); document.write( "\r\n" ); document.write( "Then \r\n" ); document.write( "\r\n" ); document.write( " g(-12) = -f(-12) + 5 = (at this point recall that f(-12) = 4, so you can continue the equality) = -4 + 5 = 1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus the corresponding point on the graph of the function g is Q = (-12,1).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The corresponding point on the graph of the function g is Q = (-12,1).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The lesson to learn from my post is THIS :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); 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" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |