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.