The reflected graph of the function y=|x| is shown below.
The graph of -y=|x| is,
In the question, the vertex of graph is translated 2 units to left implies,
[tex]-y=|x+2|[/tex]The vertex is shifhted four units above, implies,
[tex]-y=|x+2|-4[/tex]Therefore, the equation is
y=-|x+2|+4
