Question 1193890
<pre>
To shift a graph right N units, we replace x by x-N in the equation.
To shift a graph left N units, we replace x by x+N in the equation.
To shift a graph up N units, we add +N to the entire rights side of 
the equation.
To shift a graph down N units, we subtract N from the entire right 
side of the equation.

We start with the graph of y = |x|  The red graph below:

{{{drawing(400,400,-6,6,-6,6,

graph(400,400,-6,6,-6,6, abs(x)))}}}

Then we shift it right 1 unit by replacing x by x-1

y = |x-1|    The green graph below:

{{{drawing(400,400,-6,6,-6,6,

graph(400,400,-6,6,-6,6, abs(x),abs(x-1) ))}}}

Then we shift it down 4 units by subtracting 4 from the whole right side.

y = |x-1|-4      The blue graph below:

{{{drawing(400,400,-6,6,-6,6,

graph(400,400,-6,6,-6,6, abs(x),abs(x-1),abs(x-1)-4) )}}}

Edwin</pre>