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The distance, in inches, from the starting position of a swinging pendulum over time, in seconds, is represented by the graph below.

When f(x) = 0, the pendulum is at its starting position. When f(x) > 0, the pendulum is to the left of its starting position, and when f(x) < 0, the pendulum is to the right of its starting position.

The function describing this graph is a transformation of the parent cosine function, y = cos x.

Which value best describes the amplitude of the transformed function?
A.
0 inches
B.
6 inches
C.
1.5 inches
D.
3 inches

Question

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Respuesta :

kurtkemp24 kurtkemp24 · Answer 1 · 2020-02-19T05:20:40+01:00

Answer:

3'' or D. for plato got it right

Step-by-step explanation:

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PratikshaS PratikshaS · Answer 2 · 2022-06-04T05:39:47+02:00

The amplitude of the transformed function is 3 inches.

The correct answer is option (D) 3 inches

"The amplitude of y = a cos(x) represents half the distance between the maximum and minimum values of the function"

For given example,

The function describing this graph is a transformation of the parent cosine function, y = cos x.

We know, cos(0) = 1

From the given graph we can observe that, cos(0) = 3

This means the function that represents given graph is y = 3 cos(x)

From the given graph,

maximum value of the function = 3

and minimum value of function = -3

So, the amplitude is,

⇒ A = (|3| + |-3|)/2

⇒ A = 6/2

⇒ A = 3 inches

Therefore, the amplitude of the transformed function is 3 inches.

The correct answer is option (D) 3 inches

Learn more about amplitude of cosine function here:

brainly.com/question/3407141

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