what are the amplitude period and phase shift of the given function?
431100
The amplitude of the function, which is the vertical distance from the x-axis to the highest point on the graph, is |A|. The period of the function, or the smallest span of x-values that repeats itself, is 2π/B and the phase shift,or horizontal shift, is -C/B.
694539
For any wave, the amplitude can be anything. There is a simple relationship between wavelength, frequency, and velocity. You can see this easily: a wave travels one wavelength L in one period P, so v = L/P. The period P is defined as the inverse of the frequency f, so P = 1/f.
729477
The period T is the reciprocal of a frequency, T = 1 / f. The period of a waveform is the time required for one complete cycle of the wave to occur. The relationship between period, frequency, and amplitude for a sine wave is illustrated in the graphic. The position of a point in time (instant) on a waveform cycle.
216400
The value of a is , so the graph has an amplitude of 1, as does . Though the amplitude and the period are the same as the function , the graph is not exactly the same. The effect of multiplying by is to replace y-values by their opposites. So the graph of gets reflected over the x-axis.
1194421
The amplitude of y=asin(x) and y=acos(x) represents half the distance between the maximum and minimum values of the function. Amplitude = |a| Let b be a real number. The period of y=asin(bx) and y=acos(bx) is given by. Period=2π|b|
326575
['Linear Function: f(x) = mx + b.', 'Square Function: f(x) = x2', 'Cube Function: f(x) = x3', 'Square Root Function: f(x) = √x.', 'Absolute Value Function: f(x) = |x|', 'Reciprocal Function. f(x) = 1/x.']
59409
['Amplitude refers to the height of the signal; it is measured in volts, amperes or watts.', 'Period refers to the amount of time in which a signal completes one cycle; it is measured in seconds.']
34056
The amplitude and the frequency of a wave are equal. The amplitude decreases with an increase in the frequency of a wave. The amplitude increases with an increase in the frequency of a wave.
600846
Amplitude and Period of Sine and Cosine Functions. The amplitude of y=asin(x) and y=acos(x) represents half the distance between the maximum and minimum values of the function. Amplitude = |a|
39197
The amplitude of a sinusoidal function is one-half of the positive difference between the maximum and minimum values of a function. It is simply the vertical distance from the x-axis (or midline) to the highest (or lowest) point on the curve.
391138
The sine and cosine functions are said to be periodic with period 2 : sin (x + 2n ) = sin (x) and cos (x + 2n ) = cos x for any integer n. The maximum value attained by sin(x) or by cos (x) is 1, and the minimum value is -1. The functions oscillate in a regular manner within 1 unit of the x-axis (y = 0).
897631
Formulas and equations for frequency and wavelength The formula for frequency is: f (frequency) = 1 / T (period). f = c / λ = wave speed c (m/s) / wavelength λ (m). The formula for time is: T (period) = 1 / f (frequency). λ = c / f = wave speed c (m/s) / frequency f (Hz).
1272738
In amplitude-shift keying (ASK), the modulated wave represents the series of bits by shifting abruptly between high and low amplitude. In frequency-shift keying (FSK), the bit stream is represented by shifts between two frequencies.
1199563
Every sine function has an amplitude and a period. Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.
218203
Amplitude is one attribute of a signal. Frequency and phase are others. Message signals must allow the receiver to distinguished between messages. Amplitude, frequency and phase are all ways to create distinguishable differences in messages.
1159031
Roughly, phase shift is the amount that the curve is shifted right or left. ... Phase shift is positive (for a shift to the right) or negative (for a shift to the left). The easiest way to find phase shift is to determine the new 'starting point' for the curve.
1237719
The period of a wave is the time it takes to complete one cycle. The frequency is just the opposite; it's the number of wave cycles that are completed in one second. Amplitude and wavelength are both measures of distance. The amplitude measures the height of the crest of the wave from the midline.