Question

Which of the following statements are true about the graph of f(x) =1/4 cos(x+pi/3)-1 2 answers

Answer 1

The given function is written in the form of:

`f(x)=a\cos (bx-c)+d`

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.