# Changes In Period And Phase Shift Of Sine And Cosine Functions

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question
Which term gives the horizontal length of one cycle of a periodic function?
period
question
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
question
Which of the following is the graph of y=cos(2(x+pi))?
d
question
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
question
What is the period of y = sin(3x)
2pi/3
question
Which of the following is the graph of y = sin(0.5x)?
d
question
Which of the following could be the equation of the function below? ans y=-2cos(2(x+pi))-1
c
question
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
question
What is the equation of the graph below? ans- y=cos(x+pi)
d
question
What is the phase shift of a periodic function?
a horizontal translation of the function
question
Which term gives the number of cycles of a periodic function that occur in one horizontal unit?
frequency
question
What is the general equation of a cosine function with an amplitude of 3, a period of 4p, and a horizontal shift of -p?