Use the graph below to answer the question that follows:
What trigonometric function represents the graph?

f(x) = −3 sin(x − )
f(x) = −3 cos(x − )
f(x) = 3 cos(x − )
f(x) = 3 sin(x − )

Let's start with our parent function:

f(x) = sin x

One cycle on this graph occurs between 0 and 2π. Therefore, our b-value is one.

There is no vertical shift up. The sinusoidal axis is along y = 0.

The wave is not inverted, it starts at the origin and rises on both the y and x axis. Thus there is no negative value before the function.

The amplitude of the wave is 3. A normal sine wave rises to a maximum of 1, but this is multiplied by 3.

f(x) = 3 sin x

There are an infinite amount of equations that could be used to represent this graph, but this is perhaps the most intuitive.

Use the graph below to answer the question that follows: What trigonometric function represents the graph? f(x) = −3 sin(x − )f(x) = −3 cos(x − ) f(x) = 3 cos(x − ) f(x) = 3 sin(x − )

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Use the graph below to answer the question that follows:
What trigonometric function represents the graph?

f(x) = −3 sin(x − )
f(x) = −3 cos(x − )
f(x) = 3 cos(x − )
f(x) = 3 sin(x − )