Choose correct graph with following function

The answer to your question is The second graph

Step-by-step explanation:

The general equation for a trigonometric is

                        Acos(Bx + C) + D

A indicates the amplitude if the value is 1, the lowest point is -1 and the highest point is 1.  So we discard the first graph.

B indicates the period. A normal graph has a period of 2π, but this equation has a period of 3/2. This means that the period is smaller.

C indicates that the graph is moved to the left or right but in this problem C = 0, so it does not change.

D indicates if the graph is moved up or down, in this problem, D = 0 so it does not change.

For this case what you should know is that you have a function that depends on time.  the function represents the distance traveled by joanna.  we have then that d (4) means the distance traveled by joanna after having cycled for about 4 hours.  answer  after stopping for a break during her ride, joanna has cycled for 4 hours (d (4))