Choose the function whose graph is given by:

Step-by-step explanation:

res is A.

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The correct answer is A. y = 2cos(3x)

Step-by-step explanation:

To find this, first note that it is a cosine wave. We can determine this by the fact that it starts at the amplitude and not 0 (as a sine wave does).

Next, find the amplitude. We can determine this by taking the highest y value and subtracting the lowest y value, then dividing by 2.

2 - -2 = 4/2 = 2

The amplitude is then put in front of the cosine function as such.

y = 2cosx

Next, we find the period. To find the period, determine how long it takes the cycle to repeat (2pi/3). Now divide this by 2pi and take the reciprocal.

(2pi/3)/2pi = 1/3

Reciprocal of 1/3 = 3

We then use this for the coefficient of x along with the other information taht we got.

y = 2cos(3x)

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step-by-step explanation: