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.

The answer is: y would equal 3 because if you simplify the equation then it would be y= 3x+9 and if you divide 3x and 9 by 3 it would equal 3. y= 3