#1
Which of the following represents the amplitude of a sinusoidal function?
The coefficient of the sine or cosine function
The period of the function
The frequency of the function
The phase shift of the function
#2
What does the term 'period' refer to in a sinusoidal function?
The horizontal shift of the function
The vertical shift of the function
The length of one complete cycle of the function
The rate of change of the function
#3
What is the angular frequency of a sinusoidal function with a period of 2π?
#4
In a sinusoidal function of the form y = A sin(Bx + C), what does 'C' represent?
Amplitude
Phase shift
Period
Vertical shift
#5
What is the vertical shift of the sinusoidal function y = 3 cos(2x) + 4?
#6
In a sinusoidal function of the form y = A sin(Bx - C) + D, what role does 'D' play?
It represents the phase shift of the function
It represents the vertical shift of the function
It represents the period of the function
It represents the amplitude of the function
#7
For a sinusoidal function, what effect does increasing the value of 'B' have?
It compresses the graph horizontally
It stretches the graph horizontally
It compresses the graph vertically
It stretches the graph vertically
#8
For a sinusoidal function, what happens if the amplitude 'A' is negative?
The graph is reflected across the x-axis
The graph is reflected across the y-axis
The graph is stretched vertically
The graph is compressed vertically
#9
What is the phase difference between two sinusoidal functions with the same amplitude, period, and frequency, but one being a sine function and the other a cosine function?
#10
What is the phase shift of the sinusoidal function y = 2 sin(3x - π/2)?
π/2 units to the right
π/2 units to the left
3π/2 units to the right
3π/2 units to the left
#11
What is the phase shift of the sinusoidal function y = 2 cos(3x - π/4)?
π/4 units to the right
π/4 units to the left
π/3 units to the right
π/3 units to the left
#12
In a sinusoidal function of the form y = A sin(Bx - C) + D, what is the range of the function if -1 ≤ sin(Bx - C) ≤ 1?
[D - A, D + A]
[D - A, D]
[D, D + A]
[D, D - A]
#13
If the period of a sinusoidal function is 2π and the phase shift is π/3, what is the equation of the function in the form y = A sin(Bx - C) + D?
y = sin(x - π/3)
y = sin(2x - π/3)
y = sin(x + π/3)
y = sin(2x + π/3)
#14
For a sinusoidal function, if the amplitude is 4 and the period is π, what is the equation of the function in the form y = A sin(Bx - C) + D?
y = 4 sin(x)
y = 4 sin(2x)
y = 4 sin(x/2)
y = 4 sin(x - π)