Changes in Period and Phase Shift of Sine and Cosine Functions

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

What is the equation of the graph below? ans- y=cos(x+pi)

d

What is the period of y = sin(3x)

2pi/3

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

d

What is the phase shift of a periodic function?

a horizontal translation of the function

Which transformations are needed to change the parent cosine function to the cosine function below? ans- vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down

d

Which transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?

vertical stretch of 3, horizontal compression to a period of pi/5, phase shift of p units to the right

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

d

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

period

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

pi/2 units to the left

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

frequency

What is the general equation of a cosine function with an amplitude of 3, a period of 4p, and a horizontal shift of -p?

c

Which of the following could be the equation of the function below? ans y=-2cos(2(x+pi))-1

c

Which transformations are needed to change the parent cosine function to ans- vertical compression of 0.35, horizontal compression to a period of pi/4, phase shift of pi/4 units to the right

c

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

a

The graph of y=sin(x-3pi/2) is the graph of the y = sin(x) shifted in which direction?

b 3pi/2 units to the right


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