# What is the amplitude of a function?

**Amplitude**, Period, Phase Shift and Frequency. Some

**functions**(like Sine and Cosine) repeat forever. and are called Periodic

**Functions**. The Period goes from one peak to the next (or from any point to the next matching point): The

**Amplitude**is the height from the center line to the peak (or to the trough).

A.

### Is the amplitude always positive?

**Amplitude**.

**Amplitudes**are

**always positive**numbers (for example: 3.5, 1, 120) and are never negative (for example: -3.5, -1, -120).

**Amplitudes**are

**positive**because distance can only be greater than zero or equal to zero; negative distance does not exist.

#### What is the amplitude of the wave?

The**amplitude**, a, of a**wave**is the distance from the centre line (or the still position) to the top of a crest or to the bottom of a trough. Be careful with this quantity - the centre line is not always given in a diagram.**Amplitude**is measured in metres (m).#### How does the amplitude affect the period?

(Mass**does**not**affect**the pendulum's swing. The longer the length of string, the farther the pendulum falls; and therefore, the longer the**period**, or back and forth swing of the pendulum. The greater the**amplitude**, or angle, the farther the pendulum falls; and therefore, the longer the**period**.)#### What is the relationship between amplitude and energy?

The energy transported by a wave is directly**proportional to**the square of the amplitude of the wave. This energy-amplitude relationship is sometimes expressed in the following manner.

B.

### What is the amplitude of a sine wave?

This function has an amplitude of 1 because the graph goes

**one unit**up and**one unit**down from the midline of the graph. This function has a period of**2π**because the sine wave repeats every**2π**units.#### Can you have a negative amplitude?

An**amplitude**cannot be**negative**since it is defined as a half the distance, which cannot be**negative**, between the maximum value and the minimum value.#### What is the amplitude in math?

The height from the center line to the peak (or trough) of a periodic function. Or we can measure the height from highest to lowest points and divide that by 2. Try adjusting the**amplitude**below: See: Periodic Function.#### Which trig functions are even or odd?

Sine is an odd function, and**cosine**is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it's important to know them. A function f is said to be an odd function if for any number x, f(–x) = –f(x).

C.

### What is amplitude how is it measured?

The

**amplitude**of a wave refers to the maximum amount of displacement of a particle on the medium from its rest position. In a sense, the**amplitude**is the distance from rest to crest. Similarly, the**amplitude**can be**measured**from the rest position to the trough position.#### Is amplitude the volume?

**Amplitude**is the size of the vibration, and this determines how loud the sound is. We have already seen that larger vibrations make a louder sound.**Amplitude**is important when balancing and controlling the loudness of sounds, such as with the**volume**control on your CD player.#### What is the relationship between frequency and amplitude?

Frequency is how many waves pass by in a single**second**Wavelength is the distance between two crests or troughs. Frequency Frequency and Amplitude If you were at the beach, frequency is how often a wave hits you and amplitude is the height of the wave.#### How would you describe the amplitude of a wave?

**Amplitude**is an important parameter of**waves**and is the maximum displacement of points on a**wave**. Stated another way,**amplitude**is the vertical distance between a peak or a valley and the equilibrium point. Frequency is the number of**wave**cycles passing a point per unit time.

Updated: 2nd October 2019