Micah
has been following stock ratings. he is keeping his eye on sam's pork
bellies, and the pattern can be modeled by a sine function. he has found
it to have a maximum of 3, minimum of −5, and period of 2π. which of
the following sine functions could model micah's stock rating?

The required function is f(x)=4sinx-1.

Step-by-step explanation:

The standard sine function is defined as

                   ....(1)

Where a is amplitude, period is , c is phase shift and d is midline.

It is given that the maximum value is 3 and the minimum value is -5. Amplitude is half of difference between minimum and maximum.

The value of a is 4.

The period is 2π.

Midline is average of maximum and minimum.

Substitute a=4, b=1, c=0 and d=1 in equation (1).

Therefore the required function is f(x)=4sinx-1.

Sketching Parabolas

Find the vertex.. ...

Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .

Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist. ...

Make sure that you've got at least one point to either side of the vertex. ...

Sketch the graph.

Step-by-step explanation: