Question 650101
 describe the graph of {{{y=abs(x)+a}}} in the terms of the graph {{{y=abs(x)}}}

as you know, the graph of {{{y=abs(x)}}} is {{{y = x}}} for all {{{positive }}}values of {{{x}}} and {{{y = -x}}} for all {{{negative}}} values of {{{x}}}

it could be transformed:

If {{{y=abs(x)}}}, the graph of {{{y=abs(x)+a}}} (where "{{{a}}}" is a constant) will be the graph of {{{y=abs(x)}}} shifted "{{{a}}}"  units {{{upwards}}} (in the direction of the {{{y-axis}}}). 

for example, if {{{a=5}}} the graph of {{{y=abs(x)}}} shifted "{{{5}}}"  units {{{upwards}}}
let see it on a graph

{{{ graph( 600, 600, -6, 5, -10, 10,(abs(x))+5,abs(x)) }}}