Question

PLEASE HELP!

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

Answer: 2,3 and 4

Explanation:

Answer 2

Options B and D

Explanation:

Phrase shift of a trignometric function is the horizontal shift of the function towards right or left.

Vertical shift is shift up or down.

The graph of y = sin x is translated three units down.

-- This is vertical shift and not phase shift.

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

-- This is a phase shift as y = csc (x+3)

The graph of y = cos x is translated three units up. -- No, vertical shift.

The graph of y = sec x is translated three units to the left. -- Yes, phase shift

The graph of y = cot x is reflected over the horizontal axis. -- No, reflection

The graph of y = tan x is reflected over the vertical axis.-- No, reflection

Only options B D are phase shifts.