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
