Graphing an Absolute Value Function

Myducks

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Sep 19, 2012
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Graph y= (x) + 5 I can't put straight lines there the parenthesis are on my computer around the x

I don't know how to graph it because there is no slope or h.
 
The '+5' indicates a vertical shift (upwards 5 units) of the graph of y=|x|.
 
Graph y= (x) + 5 I can't put straight lines there the parenthesis are on my computer around the x

I don't know how to graph it because there is no slope or h.
y= |x|+ 5 (most keyboards have the | key directly above the Enter key) is the same as y= x+ 5 if \(\displaystyle x\ge 0\) and y= -x+ 5 if x< 0.
The slope-intercept form of a linear equation is y= mx+ h.
For \(\displaystyle x\ge 0\) m= 1 and h= 5.
For \(\displaystyle x< 0\) m= -1 and h= 5.
Graph those two pieces of straight lines.
 
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