Question

Which of the following functions is represented by the graph below?




a. y = 3 cos (1/2)x


b. y = -3 cos (1/2)x


c. y = 2 sin (1/3)x


d. y = -2 sin (1/3)x

Answer 1

Answer:

A. y = 3 cos (1/2) x.

Step-by-step explanation:

The y-intercept is 3  so it will contain 3 cos x (because  y = cos x passes through (0, 1).

The graph of 3 cos x has been stretched horizontally  by a factor 2 ( 3 cos x would pass through (π/2, 0) whereas the given graph passes through  (π, 0).

So the equation is 3 cos(1/2) x

Answer 2

The function which represents the graph is  A. y = 3 cos (1/2) x.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The y-intercept is 3  so it will contain 3 cos x (because y = cos x passes through (0, 1).

The graph of 3 cos x has been stretched horizontally by a factor of 2 ( 3 cos x would pass through (π/2, 0) whereas the given graph passes through  (π, 0).

Therefore the function which represents the graph is  A. y = 3 cos (1/2) x.

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