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Elementary Transformations of a Sine Wave Quiz

​
click for a problem
The graphs of the functions sin(x) and a sin(ω x + b) + n are given.
Determine the values of the parameters.
ω
b
a
n
1
2
1
2
3
-
π
4
π
4
π
3
π
2
1
2
1
2
3
-2
-1
1
2
This Demonstration provides a quiz for elementary transformations of sine waves. You are given the graphs of
sin(x)
in blue and
asin(ωx+b)+n
in red. The problem is to determine the values of the parameters
ω
,
b
,
a
,
n
. For a sine wave,
a
is called the amplitude,
ω
is the angular frequency, and
b
is the phase.
Note that
asin(ωx+b)+n=asin(ω(x+b/ω))+n
.
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