document.write( "Question 231507: What are the steps to graphing the function y=-2|x-5|and compare the graph of y=|x| I was absent for 3 days and am trying to follow the text book and it is not helping. I've been looking at many websites and I am stuck. \n" ); document.write( "

Algebra.Com's Answer #171314 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
If the equation was just
\n" ); document.write( " $\"y+=+abs%28x-5%29\"$ , then
\n" ); document.write( " $\"y%285%29+=+0\"$ ,
\n" ); document.write( "If $\"x+%3E+5\"$ , $\"y+%3E+0\"$ , also
\n" ); document.write( "If $\"x+%3C+5\"$ , $\"y+%3E+0\"$
\n" ); document.write( "So, this is just $\"abs%28x%29\"$ shifted $\"5\"$ units to the right
\n" ); document.write( "plotting:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-8%2C+8%2C+-8%2C+8%2C+abs%28x%29%2Cabs%28x-5%29%29+\"$
\n" ); document.write( "Now I have to factor in $\"-2\"$ . But first think. If I have
\n" ); document.write( "an expression for $\"x\"$ which equals $\"y\"$ , and I multiply
\n" ); document.write( "that expression by some number greater than zero, what does that do to
\n" ); document.write( " $\"y\"$ ? It makes every $\"y\"$ greater, and that makes the slope
\n" ); document.write( "of the line steeper. The minus sign means the function gets
\n" ); document.write( "flipped over vertically.
\n" ); document.write( "Now I'll plot again $\"abs%28x%29\"$ and $\"-2%2Aabs%28x-5%29\"$
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-8%2C+10%2C+-8%2C+8%2C+abs%28x%29%2C-2%2Aabs%28x-5%29%29+\"$ \n" ); document.write( "

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