Question

Find the amplitude of the function: Y = -2sin(x/5).

A) 2
B) 1
C) 5
D) -2

Answer 1

The amplitude of the function Y = -2sin(x/5) is 2, which is the absolute value of the coefficient of the sine term.

Step-by-step explanation:

The amplitude of a sinusoidal function like Y = -2sin(x/5) can be found by looking at the coefficient of the sine function. In the equation given, the amplitude is determined by the absolute value of the coefficient of the sine function, which in this case is 2. Hence, the correct answer is A) 2.

Amplitude is always a positive value, reflecting the maximum displacement from the midpoint of the wave motion.