document.write( "Question 1187670: Suppose (5,−5) is a point on the graph of y=f(x). What is a point that will be on the graph of y=−6f(x)+6?\r
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Algebra.Com's Answer #818681 by ikleyn(52847)\"\" \"About 
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\n" ); document.write( "Suppose (5,−5) is a point on the graph of y=f(x).
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document.write( "The plot of  y = -6f(x) + 6  is obtained from the parent plot  y = f(x)  by stretching y-axis 6 times, then reflecting about x-axis \r\n" );
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document.write( "and then shifting 6 units up.\r\n" );
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document.write( "    THEREFORE, since the point (5,-5) was originally on the parent plot y = f(x), \r\n" );
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document.write( "    we  FIRST  move this point to the new position  (5,-30),\r\n" );
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document.write( "    THEN  reflect this point (5,-30) about x-axis, getting the point (5,30),\r\n" );
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document.write( "    and  AFTER THAT  we move this point (5,30) six units up, getting finally the point (5,36).\r\n" );
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document.write( "This procedure does not depend on what the function f(x) is concretely:  it works for ANY function f(x).\r\n" );
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\n" ); document.write( "\n" ); document.write( "When you work/solve such problems,  you should firmly know that the first coordinate in pair  (x,y)  is  x-coordinate, \r
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\n" ); document.write( "\n" ); document.write( "You should know it   f i r m l y   and operate with it   F R E E L Y  ( ! )\r
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