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Where is the midline of this function?

Where is the midline of this function?-example-1
User NHG
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1 Answer

3 votes

Answer:

the midline is the line:

y = 0.

Explanation:

The midline of a function is a horizontal line that divides evenly the graph of the function in two parts.

Particularly, for trigonometric functions, we usually have:

f(x) = A*sin(k*x + p) + M

Where:

A is the amplitude.

x is the variable

k is a constant related to the frequency of the function.

p is a phase shift

M is the midline of the function, which means that the line that divides evenly the graph is y = M.

For our case, we have:

y = f(x) = 3*sin(2*x - π)

Then:

A = 3

k = 2

p = -π

And we do not have a constant term in that equation, this means that:

M = 0

This means that the line that divides evenly the graph is the line y = 0.

User Lenny Markus
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