document.write( "Question 650101: How do you describe the graph of y=|x|+a in the terms of the graph y=|x| \n" ); document.write( "

Algebra.Com's Answer #407164 by MathLover1(20855) $\"\"$ $\"About$

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describe the graph of $\"y=abs%28x%29%2Ba\"$ in the terms of the graph $\"y=abs%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "as you know, the graph of $\"y=abs%28x%29\"$ is $\"y+=+x\"$ for all $\"positive+\"$ values of $\"x\"$ and $\"y+=+-x\"$ for all $\"negative\"$ values of $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( "it could be transformed:\r
\n" ); document.write( "\n" ); document.write( "If $\"y=abs%28x%29\"$ , the graph of $\"y=abs%28x%29%2Ba\"$ (where \" $\"a\"$ \" is a constant) will be the graph of $\"y=abs%28x%29\"$ shifted \" $\"a\"$ \" units $\"upwards\"$ (in the direction of the $\"y-axis\"$ ). \r
\n" ); document.write( "\n" ); document.write( "for example, if $\"a=5\"$ the graph of $\"y=abs%28x%29\"$ shifted \" $\"5\"$ \" units $\"upwards\"$
\n" ); document.write( "let see it on a graph\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-6%2C+5%2C+-10%2C+10%2C%28abs%28x%29%29%2B5%2Cabs%28x%29%29+\"$ \r
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