I believe this is your function ...
the "parent" or most basic function being transformed is
first transformation is
... the parent graph is shifted left 3 units.
the next transformation is
... the previous shifted graph is reflected over the x-axis
the last transformation is
... the reflected graph is shifted up 4 units
in functional notation, this is the order of transformations depicted on the attached graphs ...
y = f(x)
y = f(x+3)
y = -f(x+3)
y = -f(x+3)+4
recommend you graph these one step at a time with your calculator ... it allows you to see the the transformations take place a step at a time.