document.write( "Question 1183527: Describe the translation from y=x to y=3x+2 \n" ); document.write( "
Algebra.Com's Answer #813890 by ikleyn(52787)\"\" \"About 
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\n" ); document.write( "Describe the \"highlight%28cross%28translation%29%29\" TRANSFORMATIONS from y=x to y=3x+2
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\n" ); document.write( "\n" ); document.write( "They are  NOT  translations:   they are  TRANSFORMATIONS !\r
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document.write( "First transformation is the stretching of the coordinate plane along the y-axis with the coefficient of 3,\r\n" );
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document.write( "and then the shift of 2 units up.\r\n" );
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document.write( "It is possible to express EQUIVALENTLY in other terms:  first is the compression along the x-axis \r\n" );
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document.write( "with the coefficient of 3 and then the shift of 2 units up.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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\n" ); document.write( "\n" ); document.write( "When you answer such questions,  keep in your mind,  that the sequence of the transformations   DOES  MATTER.\r
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\n" ); document.write( "\n" ); document.write( "For example,  in this case the stretching along  y-axis followed translation along y-axis\r
\n" ); document.write( "\n" ); document.write( " IS  NOT  THE  SAME  as translation along  y-axis followed stretching along y-axis.\r
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\n" ); document.write( "\n" ); document.write( "Keeping it in your mind,  re-consider the answer from  @MathLover1,  which is not precisely correct.\r
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