+511 What is the equation of the midline for function f(x)?
f(x) = 3 cos (x) - 2.5
+140 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
+129899 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
