What are the amplitude, period, and midline of f(x)=-7sin(4x-n)+27f(x)=7sin(4xn)+27?

1 Answer
Oct 20, 2017

7 "units", pi/2, 27 "units"7units,π2,27units

Explanation:

The Amplitude of any simple sinusoidal wave is the coefficient of the function of xx.

Amplitude is a measure of distance and so cannot be negative, only a positive value.

In this example, the amplitude would be 77 units.

The period of a sinusoidal function is 2pi2π divided by the coefficient of the xx. In this case, the coefficient of xx is 4.

therefore "Period" =(2pi)/4
=pi/2

The midline of a simple sinusoidal wave is the constant at the end of the function. In the case of this example it would be 27 units.