document.write( "Question 1188374: Let f(x)=−3x. The graph of f(x)​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.\r
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Algebra.Com's Answer #819436 by ikleyn(52847)\"\" \"About 
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\n" ); document.write( "Let f(x)=−3x. The graph of f(x)​is transformed into the graph of g(x) by a vertical stretch
\n" ); document.write( "of 4 units and a translation of 4 units right. What is the equation for g(x)?
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document.write( "The new function g(x) is\r\n" );
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document.write( "    g(x) = 4*f(x-4) = 4*(-3(x-4)) = -12*(x-4).      ANSWER\r\n" );
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document.write( "I multiply f(x) by 4 to provide vertical stretch of 4 units, and I replace the argument \"x\" of the function f(x)\r\n" );
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document.write( "by (x-4) to translate the plot 4 units right.\r\n" );
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\n" ); document.write( "\n" ); document.write( "comment from student : Thank you! One question. Since it's translating to
\n" ); document.write( "the right, wouldn't it be -12 (x+4) though ?\r
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\n" ); document.write( "\n" ); document.write( "My response :   NO.\r
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\n" ); document.write( "\n" ); document.write( "It is a common  MISTAKE  to think that moving plot  4  units right requires using  (x+4)\r
\n" ); document.write( "\n" ); document.write( "instead of  x.   With such level of knowledge the  LOW  SCORE  is  GUARANTEED.\r
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\n" ); document.write( "\n" ); document.write( "The correct rule is  EXACTLY  as it is stated in my post.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar and different problems solved,  look into the lesson \r
\n" ); document.write( "\n" ); document.write( "    - HOW TO write functions for transformed plots \r
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\n" ); document.write( "\n" ); document.write( "Learn the subject from there . . . \r
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