1. The problem asks to find the vertical shift of the trigonometric function $$f(x) = 3 \cos(x) - 3$$. 2. The general form of a cosine function with vertical shift is $$f(x) = A \cos(Bx + C) + D$$, where $$D$$ represents the vertical shift. 3. In the given function, $$f(x) = 3 \cos(x) - 3$$, the term $$-3$$ is the vertical shift. 4. This means the entire graph of $$3 \cos(x)$$ is shifted down by 3 units. 5. Therefore, the vertical shift is $$-3$$. Final answer: vertical shift = $$-3$$.