document.write( "Question 62652: Given that f(x)=│x│, describe (or draw)how the following transformations change f(x).\r
\n" ); document.write( "\n" ); document.write( "1. g(x)=-│x│\r
\n" ); document.write( "\n" ); document.write( "2. h(x)= │x+3│\r
\n" ); document.write( "\n" ); document.write( "3. j(x)= │x│+3 \n" ); document.write( "

Algebra.Com's Answer #43454 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
g(x)=|x| looks like:
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%29\"$
\n" ); document.write( "g(x)=-|x| is reflected about the x axis and looks like:
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-1%2Aabs%28x%29%29\"$
\n" ); document.write( "g(x)=|x+3| shifts horizontally to the left 3 units:
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%2B3%29%29\"$
\n" ); document.write( "g(x)=|x|+3 shifts vertically 3 units up:
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2B3%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

\n" );