The given function is written in the form of:
[tex]f(x)=a\cos (bx-c)+d[/tex]
in which a = 1/4, b = 1, c = -π/3, and d = -1.
The amplitude of the function is A, hence, the amplitude is 1/4. Statement A is true.
In addition, the vertical shift of the function is D, hence, the vertical shift is 1 unit down since d is -1. Statement 2 is false.
In addition, the horizontal shift or phase shift of a cosine function is C. Therefore, the horizontal shift is -π/3 or π/3 to the left. Statement D is true.
