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The maximum value of y = sin x is ______.
maximum value is 1.
What is the amplitude and period of y = -2 sin (π x)?
A = 2 and P = 2
True or False: sin x = cos (x - π/2)
True
What is the y-intercept of y = 2 sin x - 1
-1
What is the y-intercept of y = sin x
0
The function y = A sin (Bx) has amplitude 3 and period 2, then A = ___ and B = ____
A = 3 and B = π
How do you find the frequency of a function given the period?
It is the reciprocal of the period.
If f(x) = 3sin(x+2)-4, what is the phase shift and vertical shift?
p.s. :left 2 v.s.: down 4
The function y = 3 cos (6x) has A = ___ and P = ___
A = 3 and P = π/3
For the graph of y = A sin (x - h), the number h is called the ______
phase shift
Write the equation of the sine function that has A = 2, P = π/2, and v.s. = -3
y = 2 sin (4x) - 3
What is the midline of a function?
The horizontal line that cuts the graph in half.
If y = -1/2 cos (3/2)x, what is the A = ___ and P = ___
A = 1/2 and P = 4π/3
If y = 4 sin (2x), the maximum value occurs at y = ___
x = 4
What is the largest value of y = sin x
1
If y = sin (-2π/3 x), what is the period?
P = 3
If y = 2 cos 2π (x - 4), find A = ___, P = ___, and p.s. = ___
A = 2, P = 1, p.s. = right 4
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)
If y = 2 sin (x - 3π/4)+1, what are your minimum and maximum values?
minimum: -1
maximum: 3
Write the equation of the sine function where A = 3, P = 3π, and p.s. = -1/3
y = 3 sin 2/3 (x + 1/3)