Elementary Transformations of a Sine Wave Quiz

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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

True

-2π

-

3π

2

-π

-

π

2

π

2

π

3π

2

2π

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

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

.