Midline

Definition

The midline of a sinusoidal function represents its average value or equilibrium position. It acts as a horizontal line that divides the graph into two equal halves.

Related terms

Vertical Shift: A vertical shift refers to moving an entire graph up or down without changing its shape. Shifting a sinusoidal function vertically will change its midline.

Average Value: The average value of a periodic function over one complete cycle is equal to its midline.

Equilibrium Position: In physics, equilibrium position refers to an object's stable resting point where there is no net force acting on it. Similarly, in mathematics, the midline represents this balanced state for sinusoidal functions.