Find a function of the form y=asin(kx)+c or y=acos(kx)+c whose graph matches the function shown. ( in the picture)

The required function is .

Step-by-step explanation:

From the given graph it is clear that the value of function is not extreme at x=0, so the required function is a sine function.

The general form of a sine function is

                ..... (1)

where, A is amplitude, is period and C is midline.

From the given graph it is clear that the maximum value of the function is -2 and minimum value of the function is -4.

The function complete a cycle in 14 units, so period of the function is 14.

Substitute A=1, and C=-3 in equation (1).

Therefore the required function is .