document.write( "Question 660590: Which equation is translated 2 units to the left and 1 unit up to END with the equation
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document.write( "y=|3x-9|?\r
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Algebra.Com's Answer #411276 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Hi, there--\r\n" ); document.write( "\r\n" ); document.write( "You can solve this problem by working backwards, undoing both transformations by doing \r\n" ); document.write( "the opposite.\r\n" ); document.write( "\r\n" ); document.write( "Start with y=|3x-9|\r\n" ); document.write( "\r\n" ); document.write( "The second transformation was \"1 unit up.\" We'll translate our equation \"1 unit down.\" \r\n" ); document.write( "Subtracting 1 outside the absolute value sign will translate the graph 1 unit down.\r\n" ); document.write( "y = |3x-9| -1\r\n" ); document.write( "\r\n" ); document.write( "The first transformation was \"2 units to the left.\" We can undo this one by translating \"2 \r\n" ); document.write( "units to the right.\" Subtracting 2 from x translates a function 2 units to the right.\r\n" ); document.write( "y = |3(x-2)-9| - 1\r\n" ); document.write( "\r\n" ); document.write( "Now we are back at the original function. We can leave it this way, but typically we would \r\n" ); document.write( "simplify the expression inside the absolute value symbols.\r\n" ); document.write( "y = |3x-6-9| - 1\r\n" ); document.write( "y = |3x-15|-1\r\n" ); document.write( "\r\n" ); document.write( "There you go!\r\n" ); document.write( "Mrs. Figgy\r\n" ); document.write( "\n" ); document.write( " |