Question

Which of the following statements best describes a trigonometric function having undergone a phase shift? Select all that apply.

The graph of y = sin x is translated three units down.
The graph of y = csc x is translated three units to the right.
The graph of y = cos x is translated three units up.
The graph of y = sec x is translated three units to the left.
The graph of y = cot x is reflected over the horizontal axis.
The graph of y = tan x is reflected over the vertical axis.

Answer 1

The graph of y = csc x is translated three units to the right.

AND

The graph of y = sec x is translated three units to the left.

Explanation:

A phase shift means that the function is shifted horizontally, either left or right.

Thus, only the options with left or right are horizontal phase shifts.