1. The problem asks to identify the vertical shift of the function $$f(x) = -4 \cos(15x) + 2$$. 2. The general form of a cosine function with vertical shift is $$f(x) = A \cos(Bx) + D$$, where: - $$A$$ is the amplitude, - $$B$$ affects the period, - $$D$$ is the vertical shift. 3. In the given function, $$f(x) = -4 \cos(15x) + 2$$, the vertical shift is the constant term added outside the cosine function, which is $$+2$$. 4. This means the entire graph of the cosine function is shifted vertically upward by 2 units. 5. Therefore, the vertical shift of the function is $$2$$.