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

1 Answer
Oct 20, 2017

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

Explanation:

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

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

In this example, the amplitude would be #7# units.

The period of a sinusoidal function is #2pi# divided by the coefficient of the #x#. In this case, the coefficient of #x# 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.