#### Find the amplitude and the equation of the midline of the periodic function.

## How do you find the equation of a midline?

midline: A midline of a sinusoidal function is the horizontal center line about which the function oscillates above and below. For y = sin x, the midline is y = 0 (the x-axis). The midline is parallel to the x-axis and is located half-way between the graphs maximum and minimum values.

## How do you find the maximum and minimum of a midline?

Finding features from graph The horizontal line that passes exactly between y = 7 y=7 y=7 (the maximum value) and y = 3 y=3 y=3 (the minimum value) is y=5start color #ed5fa6, y, equals, 5, end color #ed5fa6, so that’s the midline.

## What does midline mean?

median line

## How do you know if a function is periodic?

A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).The smallest value of T is called the period of the function.Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.

## Can an amplitude be negative?

The amplitude or peak amplitude of a wave or vibration is a measure of deviation from its central value. Amplitudes are always positive numbers (for example: 3.5, 1, 120) and are never negative (for example: -3.5, -1, -120).

## What does amplitude do to a graph?

Technically, the amplitude is the absolute value of whatever is multiplied on the trig function. The amplitude just says how “tall” or “short” the curve is; it’s up to you to notice whether there’s a “minus” on that multiplier, and thus whether or not the function is in the usual orientation, or upside-down.

## How do u find the frequency?

Frequency of a wave is given by the equations_f=1T. where: f is the frequency of the wave in hertz. T is the period of the wave in seconds.f=vλ where: f is the frequency of the wave in hertz. v is the velocity of the wave in meters per second. λ is the wavelength of the wave in meters. f=cλ

## What is the period of a function?

The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period. For any trigonometry graph function, we can take x = 0 as the starting point.

## What is a periodic graph?

In graph theory, a branch of mathematics, a periodic graph with respect to an operator F on graphs is one for which there exists an integer n > 0 such that F^{n}(G) is isomorphic to G. Periodicity is one of many properties of graph operators, the central topic in graph dynamics.