What is the equation of the midline for function f(x)?

f(x) = 3 cos (x) - 2.5

kikidylm Jan 28, 2019

#1**0 **

The midline is the y value that runs straight through the middle of the wave.If you can picture the standard sine function graph. f(x) = Sin(x) reaches a maximum y = 1 and minimum y = -1 so the midline is y =0. This equation is shifted up 6 so the midline is shifted up 6y = 6 is equation for midline

Mclovin123 Jan 28, 2019

#2**+1 **

Equation of midline ... y = [ max value of function + min value of function ] / 2

Note that the max value of the cosine = 1 and the min value = -1

So....max value of function = 3(1) - 2.5 = .5

And the min value of the function is 3(-1) - 2.5 = -5.5

So the equation of the midline is

y = [ .5 + -5.5] / 2 = [ -5 ] / 2 = - 2.5

See the graph here : https://www.desmos.com/calculator/lesls9edag

CPhill Jan 28, 2019