The graph of function g(x) is in the image at the end.
How to graph the transformation?
Here we start with the function f(x) = |x|.
We want to graph the function:
g(x) = -f(x + 4)
This is a translation of 4 units to the left of f(x), and then a reflection across the x-axis.
So just take the graph of f(x) and do that, the graph of:
g(x) = -|x + 4|
Is the one you can see below.