Match each graph with me correct cosine function based on its period

It is required to match the functions given below with their graphs based on their periods.

We know that, 'period' of a function is the value where the graph repeats itself.

Also, if period of a function f(x) is P, then period of function f(bx) is .

As we have the function y = cosx having period . The graph will be as in figure 1 below.

Since, the next function is . Therefore, the period of this function will be i.e. . So, the graph is given in figure 2 below.

Finally, the last function is . Therefore, the period of this function will be i.e. . So, the graph is given in figure  below.

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step-by-step explanation: