Which of the following could be the equation of the function below?

Answer:
Option C is the correct option.
Step-by-step explanation:
In the given cosine graph we can draw some parameters of the equation as below
y = a cos(bx + c) + d
1) amplitude a = (1+3)/2=2
2) Period = π
3) phase shift = -π ( to the left)
4) Vertical shift = -1 ( downwards on y-axis)
Therefore the equation of the graph will be
y = -2cos[2(x + π)] - 1
Option C is the correct answer.