document.write( "Question 596274: The vertices of Triangle ABC are A (2,1), B (3,3), and C (4,0). Find the image after the given composition.
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document.write( "Translation:(x,y)--> (x- 6, y- 4)
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document.write( "Dilation: centered at the origin with a scale factor of 3
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Algebra.Com's Answer #377645 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! (x,y)--> (x- 6, y- 4) means \"take every x and subtract 6 from it to form the new x and take every y and subtract 4 from it to get the new y.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So A(2,1) translates to (-4, -3) because\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "New x: 2 - 6 = -4\r \n" ); document.write( "\n" ); document.write( "New y: 1 - 4 = -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do the same with the other points to get \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B(3,3) translating to (-3,-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C(4,0) translating to (-2,-4)\r \n" ); document.write( "\n" ); document.write( "=================================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "With the scale factor of 3, this means that each coordinate is multiplied by 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So \r \n" ); document.write( "\n" ); document.write( "A(2,1) dilates to (6,3) \n" ); document.write( "B(3,3) dilates to (9,9) \n" ); document.write( "C(4,0) dilates to (12,0) \n" ); document.write( " |