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
