Changes in Period and Phase Shift of Sine and Cosine Functions

Pataasin ang iyong marka sa homework at exams ngayon gamit ang Quizwiz!

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


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