Question

Choose the function whose graph is given by:

Answer 1

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

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)

Answer 2

Explanation:

res is A.

Thank goodness. This is the most difficult math problem I've ever done here. Everything else is too easy. What grade are you in?