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

 

f(x) =  3 cos (x) - 2.5

 Jan 28, 2019
 #1
avatar+154 
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

 Jan 28, 2019
 #2
avatar+103948 
+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

 

 

 

cool cool cool

 Jan 28, 2019

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