Question

Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):

Answer 1

ANSWER

Phase shift: 1 unit to the right.

EXPLANATION

The given sine function is


`y = 1 + \sin2(x - 1)`

In mathematics, the phase shift of a trigonometric function is also called the horizontal shift.


This function is shifted 1 unit to the right.


The phase shift is one unit to the right.

Answer 2

The phase shift:

1 unit to the right and 1 unit up

Explanation:

∵ y = 1 + sin2(x - 1)

∴ y = 1 + sin(2x - 2)

∵ y = Sin(Bx - C) + D

∵ The vertical shift is D

∴ The horizontal shift is -C/B

∴ The vertical shift is 1 unit up

∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right