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Amplitude & Period
Analysis
Intercepts
Phase Shift
Vertical Shift
100

The values of the amplitude and period of the function f(x)=–2cos(πx+3)–7

What are 2 and 2?

100

The coordinate of the first maximum of the function f(x)=sin(x).

What is (π/2 , 1)?

100
True or False: sin x = cos (x - pi/2)
True
100
What is the y-intercept of y = 2 sin x - 1
-1
100
What is the y-intercept of y = sin x
0
200

The values of A and B in the function f(x)=Asin(Bx) that has an amplitude of 3 and a period of 2.

What are 3 and π?

200

The domain in interval notation between –π and π for which the function y=cosx is increasing.

What is (–π,0)?

200
What is the x-intercept of y = cos x on the interval [0, 2pi]
x = pi/2 and x = 3pi/2
200
The function y = 3 cos (6x) has A = ___ and P = ___
A = 3 and P = pi/3
200
For the graph of y = A sin (wx - t), the number t/w is called the ______
phase shift
300

The equation of a sine function that has an amplitude of 2, a period of π/2, & a downwards vertical shift of 3 units.

What is y=2sin(4x)–3?

300

The coordinates (–π,–10) and (π,–10) for a cosine function with no phase nor vertical shifts in the domain x ∈ [–2π,2π].

What are the minima of the function f(x)=10cos(x)?

300
If y = -1/2 cos (3/2)x, what is the A = ___ and P = ___
A = 1/2 and P = 4pi/3
300
If y = 4 sin (2x), the maximum value occurs at x = ___
x = pi/4
300
What is the largest value of y = sin x
1
400

The period and amplitude of the function g(y)=–5sin(–2π/3 x+1)–2.

What are 3 and 5?

400
If y = 2 cos (2pi x - 4), find A = ___, P = ___, and p.s. = ___
A = 2, P = 1, p.s. = 2/pi
400
Write the equation of the cosine function which is reflected about the x-axis and has an amplitude of 1, period of 2pi/3, and phase shift of pi/4.
y = - cos 3(x - pi/4)
400
The function y = 2 sin (x - 3pi/4) has one complete cycle graphed on the interval [3pi/4, ? ]
11pi/4
400
Write the equation of the sine function where A = 3, P = 3pi, and p.s. = -1/3
y = 3 sin 2/3 (x + 1/3)
500

The angular frequency (ω) of the tide function h(t)=Asin(ωt-φ), where h represents the tide & t is measured in hours. High tide occurs at 5 AM and 5 PM. 

What is π/6 per hour?