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)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( ". \n" ); document.write( "Describe the \n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They are NOT translations: they are TRANSFORMATIONS !\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "First transformation is the stretching of the coordinate plane along the y-axis with the coefficient of 3,\r\n" ); document.write( "\r\n" ); document.write( "and then the shift of 2 units up.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is possible to express EQUIVALENTLY in other terms: first is the compression along the x-axis \r\n" ); document.write( "\r\n" ); document.write( "with the coefficient of 3 and then the shift of 2 units up.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "/////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When you answer such questions, keep in your mind, that the sequence of the transformations DOES MATTER.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Keeping it in your mind, re-consider the answer from @MathLover1, which is not precisely correct.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |