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The maximum value of y = sin x is ______ and occurs at x = _____
maximum value is 1 at x =
pi/2
What is the amplitude and period of y = -2 sin (
pi
x)?
A = 2 and P = 2
True or False: sin x = cos (x -
pi/2
)
True
What is the y-intercept of y = 2 sin x - 1
-1
The function y = A sin (bx) has amplitude 3 and period 2, then A = ___ and b = ____
A = 3 and b =
pi
For what numbers x, -
pi
< x <
pi
is the graph of y = cos x increasing?
(-
pi
, 0)
What is the x-intercept of y = cos x on the interval [0,
2pi
]
x =
pi/2
and x =
(3pi)/2
The function y = 3 cos (6x) has A = ___ and P = ___
A = 3 and P =
pi/3
For the graph of y = A sin (bx + h)+k, the number h is called the ______
phase shift
Write the equation of the sine function that has A = 2, P =
pi/2
, and v.s. = -3
y = 2 sin (4x) - 3
For what numbers x, 0 < x < 2
pi
, does cos x = 0.
x =
pi/2
and x =
(3pi)/2
If y =
-1/2 cos((3x)/2)
, what is the A = ___ and P = ___
A = 1/2 and P =
(4pi)/3
If y = 4 sin (2x), the maximum value occurs at x = ___
x =
pi/4
What is the largest value of y = sin x
1
If y = sin (
pi
x) , what is the period?
p=2
If y = 2 cos (2
pi
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
)
The function y = 2 sin (
x - 3pi/4
) has one complete cycle graphed on the interval [
3pi/4
, ? ]
11pi/4
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)