Question 626963
<pre><font size = 1>
The graph of 

y = {{{1/5}}}|x - 4| - 5 

can be obtained from the graph of 

y = |x| as follows:

{{{graph(400,400,-10,10,-10,10,abs(x))}}}, which is the graph of y = |x| to this:

{{{graph(400,400,-10,10,-10,10,(1/5)abs(x))}}}, which is the graph of y = {{{1/5}}}|x| the above graph shrunk vertically by a factor or {{{1/5}}} to this:


{{{graph(400,400,-10,10,-10,10,(1/5)abs(x-4))}}}, which is the graph of y = {{{1/5}}}|x - 4|, the above graph shifted horizontally right 4 units to this:

{{{graph(400,400,-10,10,-10,10,(1/5)abs(x-4)-5)}}}, which is the graph of y = {{{1/5}}}|x - 4|-5, the above graph shifted vertically down 5 units.

There is no reflecting in either axis.

Edwin</pre>