document.write( "Question 857904: Will you please describe the transformations performed on f(x)=|x| to make it the following: f(x)=4|x+1|-6 and f(x)=1/4|x|+5\r
\n" ); document.write( "\n" ); document.write( "Thank you so very much! \n" ); document.write( "
Algebra.Com's Answer #516914 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Will you please describe the transformations performed on f(x)=|x| to make it the following:
\n" ); document.write( "f(x)=4|x+1|-6
\n" ); document.write( "Start at f(x) = |x|
\n" ); document.write( "----
\n" ); document.write( "1st step: |x+1| moves everypoint of f(x) 1 unit to the left.
\n" ); document.write( "-------------------
\n" ); document.write( "2nd step: 4|x+1| steepens the slopes of f(x) = |x+1| by a factor of 4.
\n" ); document.write( "---------
\n" ); document.write( "3rd step: 4|x+1|-6 lowers every point of 4|x+1| by 6.
\n" ); document.write( "=============================================================\r
\n" ); document.write( "\n" ); document.write( "and f(x)=1/4|x|+5
\n" ); document.write( "Start at f(x) = |x|
\n" ); document.write( "------
\n" ); document.write( "1st step: (1/4)|x| flattens the slopes of f(x) = |x| by a factor of 1/4
\n" ); document.write( "------
\n" ); document.write( "2nd step: (1/4)|x|+5 raises every point of (1/4)|x| by 5
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );