Changes in Period and Phase Shift of Sine and Cosine Functions

Which of the following is the graph of y = sin (4 (x-π) )?

A

Which of the following is the graph of y = cos (2x)?

A

Which transformations are needed to change the parent cosine function to y = 0.35 cos (8 ( x - π/4) )?

A (wrong)

Which transformations are needed to change the parent sine function to y = 1/4 sin (4 ( x + π/6) )?

A (wrong)

What is the phase shift of a periodic function?

A horizontal translation of the function.

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

B (wrong)

Which of the following is the graph of y = cos (2 ( x+π) )?

D

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

Period

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

Period (wrong)

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

Y = 0.5 cos (2 (x-π)) - 2 (wrong)

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

Y = 2 sin (2 (x - π) )

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

y = 3 sin (4 (x-π) ) + 4 (wrong)

What is the equation of the graph below?

y = cos (x + π/3) (wrong)

What is the equation of the graph below?

y = cos (x/5) (wrong)

What is the equation of the graph below?

y = sin (x + 90 degrees)

The graph of y = cos ( x + π/2) is the graph of the y = cos (x) shifted in which direction?

π/2 units to the left