Question

What are the amplitude and period of y = 3 sin(-2x)? O The amplitude is 6 and the period is. The amplitude is 3 and the period is 47. The amplitude is 3 and the period is . The amplitude is 6 and the period is 4.​

Answer 1

The amplitude of the function y = 3 sin(-2x) is 3, while the period is π.

Step-by-step explanation:

The amplitude and period of a sinusoidal function can be determined from its equation. The function y = 3 sin(-2x) corresponds to a sine function with an amplitude and a period. The amplitude, represented by the coefficient of the sine function, is the maximum distance from the equilibrium position. Here, the amplitude is 3. The period of the sine function is found by taking 2π and dividing it by the absolute value of the coefficient of the x within the sine function. In this case, the coefficient is -2, so the period, T, is π.