Αποτελέσματα Αναζήτησης
13 Φεβ 2022 · Identify the amplitude, vertical shift, period and frequency of the following function. Then graph the function. \(f(x)=2 \sin \left(\frac{x}{3}\right)+1\) \(a=2, b=\frac{1}{3}, d=1\) The amplitude is 2 , the vertical shift is \(1,\) and the frequency is \(\frac{1}{3}\). The period would be \(\frac{2 \pi}{\frac{1}{3}}\), or \(6\pi\).
The frequency of a wave is the number of times per second that the wave cycles. Frequency is measured in Hertz or cycles per second. The frequency is often represented by the lower case "f." The period of the wave is the time between wave crests. The period is measured in time units such as seconds. The period is usually represented by the ...
6 Φεβ 2013 · period = 2π frequency. The equation of a basic sine function is f(x) = sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b = 1 2, the period is 2π 1 2 which means the period is 4π and the graph is stretched. Examples.
y = A sin(B(x + C)) + D. amplitude is A; period is 2 π /B; phase shift is C (positive is to the left) vertical shift is D; And here is how it looks on a graph: Note that we are using radians here, not degrees, and there are 2 π radians in a full rotation.
Sine waves repeat over time, so this makes them periodic. The time is takes for a part of the sine wave (one cycle) to travel before it repeats itself is called the period, represented by the letter T. The frequency of a sine wave is the number of oscillations it makes in one second.
26 Σεπ 2012 · What is the frequency and period of y = sin 3 x? If we follow the pattern from the previous example, multiplying the angle by 3 should result in the sine wave completing a cycle three times as often as y = sin x. So, there will be three complete waves if we graph it from 0 to 2 π. The frequency is therefore 3.
1 Οκτ 2024 · Find the period, amplitude and frequency of y = 3 sin 2 x and sketch a graph from 0 to 6 π. This is a sine graph that has been stretched both vertically and horizontally. It will now reach up to 3 and down to -3.
