Changes in Period and Phase Shift of Sine and Cosine Functions

Question 1

Which transformations are needed to change the parent cosine function to the cosine function below?

Revolt · Accepted Answer

vertical stretch of 2, horizontal compression to a period of , phase shift of units to the right, vertical shift of 1 unit down

Question 2

Which term gives the number of cycles of a periodic function that occur in one horizontal unit?

Revolt · Accepted Answer

frequency

Question 3

What is the general equation of a sine function with an amplitude of 2, a period of and a horizontal shift of units?

Revolt · Accepted Answer

y = 2 sine (2 (x minus pi))

Question 4

Which term gives the horizontal length of one cycle of a periodic function?

Revolt · Accepted Answer

period

Question 5

Which transformations are needed to change the parent cosine function to ?

Revolt · Accepted Answer

vertical stretch of 3, horizontal compression to a period of , phase shift of units to the right

Question 6

Which of the following is the graph of y = sin(0.5x)?

Revolt · Accepted Answer

On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.

Question 7

Which of the following could be the equation of the function below?

Revolt · Accepted Answer

y = negative 2 cosine (2 (x + pi)) minus 1

Question 8

Which transformations are needed to change the parent cosine function to ?

Revolt · Accepted Answer

vertical compression of 0.35, horizontal compression to a period of , phase shift of units to the right

Question 9

The graph of is the graph of the y = sin(x) shifted in which direction?

Revolt · Accepted Answer

units to the right

Question 10

Which of the following is the graph of ?

Revolt · Accepted Answer

On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.

Changes in Period and Phase Shift of Sine and Cosine Functions Answers