select the correct answer. the distance, in inches, from the starting position of a swinging pendulum over…

select the correct answer. 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. 3 inches c. 6 inches d. 1.5 inches

select the correct answer. 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. 3 inches c. 6 inches d. 1.5 inches

Answer

Explanation:

Step1: Recall amplitude definition

The amplitude of a periodic - function is the maximum displacement from the equilibrium position.

Step2: Identify equilibrium and max displacement

In the graph of the pendulum's motion, the equilibrium position is when (f(x)=0). The maximum value of (f(x)) (distance from starting position) is 3 inches.

Answer:

B. 3 inches