Question 1008305
Reference function {{{y=abs(x)}}}, having critical value at x=0, because that is where the sign changes.  V shaped, sharp point as a minimum.


Think of that sharp minimum point as a point of reference within the function {{{abs(x)}}}.  What happens upon translation using  {{{abs(x+2)}}}?  Where must be x in order for {{{abs(x+2)}}}  to be same value as  {{{abs(0)}}}? 


With the "translated", meaning moved, newer function, x must be {{{-2}}} so that
{{{abs(-2+2)=abs(0)}}}.


{{{abs(x+2)}}}  is MOVING {{{abs(x)}}} to the LEFT by two units.




Reference graph, absolute value function
{{{graph(300,300,-4,4,-4,4,abs(x))}}}


Moved absolute value function two units to the left, {{{y=abs(x+2)}}}
{{{graph(300,300,-4,4,-4,4,abs(x+2))}}}