What are the the transformations of h (x) = - f (x+4) - 12

given f) x) then

- f (x) represents a reflection in the x-axis

f (x + 4) represents a shift of 4 units horizontally to the left

f (x) + 12 represents a vertical shift of 12 units down

thus h (x) = f (x + 4) - 12

is the graph of f (x), moved 4 units left, 12 units down and reflected in the x - axis