document.write( "Question 796201: I have a question regarding a transformation of the \"parent\" absolute value function. I know that y < |x-2| would be the parent function with the vertex shifted 2 units to the right. I also know that y < -|x-2| would be the parent function with the vertex shifted 2 units to the right and reflected over the x-axis. I don't understand how to directly figure out the transformation of y < |-x-2|. I just feel like the negative sign is in the wrong place for the rules I know! \n" ); document.write( "

Algebra.Com's Answer #481270 by nerdybill(7384) $\"\"$ $\"About$

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I have a question regarding a transformation of the \"parent\" absolute value function. I know that y < |x-2| would be the parent function with the vertex shifted 2 units to the right. I also know that y < -|x-2| would be the parent function with the vertex shifted 2 units to the right and reflected over the x-axis. I don't understand how to directly figure out the transformation of y < |-x-2|. I just feel like the negative sign is in the wrong place for the rules I know!
\n" ); document.write( ".
\n" ); document.write( "y < |-x-2|
\n" ); document.write( "rewrite as:
\n" ); document.write( "y < |-(x+2)|
\n" ); document.write( "The +2 shifts function 2 units left
\n" ); document.write( "The - REFLECTS over the Y-AXIS \n" ); document.write( "

\n" );