What is the phase shift of a periodic function?

a)a horizontal translation of the function
b)the horizontal length of one cycle of the function
c)the number of cycles of the function that occur in one horizontal unit
d)a vertical translation of the function

The number of cycles of the function that occur in one horizontal unit is a phase shift of a periodic function.Option (c) is correct.

Further explanation:

Given:

The options are as follows.

a. A horizontal translation of the function

b. The horizontal length of one cycle of the function

c. The number of cycles of the function that occur in one horizontal unit

d. A vertical translation of the function

Explanation:

The sine function is periodic and the equation can be expressed as follows,

Here, a is amplitude of the function, period is , c is phase shift and d is the vertical shift of the periodic function.

The number of cycles of the function that occur in one horizontal unit is a phase shift of a periodic function.

Option (a) is not correct as a horizontal translation of the function is not the phase shift.

Option (b) is not correct as the horizontal length of one cycle of the function is not the phase shift.

Option (c) is correct as the number of cycles of the function that occur in one horizontal unit is the phase shift.

Option (d) is not correct as a vertical translation of the function is not the phase shift.

Learn more:

1. Learn more about inverse of the

2. Learn more about equation of circle

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequalities

Keywords: Phase shift, periodic function, horizontal translation, function, horizontal length, cycle, one cycle of the function, number, vertical translation, amplitude, horizontal unit, amplitude, angle.

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