What does the amplitude do to a sine graph?

What does the amplitude do to a sine graph?

The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In other words, the amplitude is half the distance from the lowest value to the highest value.

What is the frequency of a sine graph?

The equation of a basic sine function is f ( x ) = sin ⁡ . In this case , the frequency, is equal to 1 which means one cycle occurs in . If b = 1 2 , the period is 2 π 1 2 which means the period is and the graph is stretched.

How does frequency affect sine wave?

It is usually measured in Hertz (abbreviated Hz), sometimes also called “cycles per second”. People will hear the frequency of a sine wave as pitch, i.e., a high-frequency (often repeating) wave will sound like a high note, while a lower-frequency (not as often repeating) wave will sound like a lower note.

What affects a sine graph?

To conclude, when examining the graph y = a sin (bx + c), a affects the amplitude, b affects the period, and c affects the phase shift.

Why is the graph of sine a wave?

From the above graph, which shows the sine function from −3π to +5π, you can probably guess why the graph of the sine function is called the sine “wave”: the circle’s angles repeat themselves with every revolution of the unit circle, so the sine’s values repeat themselves with every length of 2π, and the resulting …

What are the characteristics of a sine graph?

The sine and cosine functions have several distinct characteristics:

• They are periodic functions with a period of 2 π .
• The domain of each function is ( − ∞ , ∞ ) ( − ∞ , ∞ ) and the range is [ − 1 , 1 ] .
• The graph of y = sin x y = sin x is symmetric about the origin, because it is an odd function.

What is frequency on a graph?

frequency distribution, in statistics, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. Simple examples are election returns and test scores listed by percentile. A frequency distribution can be graphed as a histogram or pie chart.

What is the relationship between amplitude and frequency?

Does Amplitude affect Frequency? The relationship between the wave’s amplitude and frequency is such that it is inversely proportional to the frequency. The amplitude decreases as the frequency increases.

What is the amplitude of the graph?

The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine.