In this assignment, I will be exploring the following concepts:

1. y = sin x

2. y = a sin x

3. y = sin bx

4. y = sin (x+c)

5. y = sin x + d

We can make the following important observations.

The amplitude of the graph is 1

The period of the graph is 2pi or 360 degrees.

The graph goes through the origin

The turning points and the x-intercepts happen every 90 degrees.

We can make the following important observations.

The amplitudes of the graphs are a

The periods of the graphs are 2pi or 360 degrees.

The graphs go through the origin

The turning points and the x-intercepts happen every 90 degrees

We can make the following important observations.

The amplitude of the graphs are all 1

The periods of the graph are 360 degrees / b

The graphs go through the origin

The turning points and the x-intercepts happen every period / 4 degrees

We can make the following important observations.

The amplitude of the graphs are all 1

The periods of the graph are 360 degrees

The graphs are moved c degrees vertically

The turning points and the x-intercepts happen every 90 degrees

We can make the following important observations.

The amplitude of the graphs are all 1

The periods of the graph are 360 degrees

The graphs are moved d units horizontally

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