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 \(6\pi\).
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.
Define amplitude, frequency, period, wavelength, and velocity of a wave; Relate wave frequency, period, wavelength, and velocity; Solve problems involving wave properties
For instance, let’s compare two sinusoidal waves: The red wave completes ω = 2 cycles per second, while the blue wave completes ω = 4 cycles per second. As a result, the blue wave has a higher angular frequency than the red wave (ω*>ω). In one second, the blue wave covers more radians.
The reciprocal of the Period is the Frequency, f. Thus, f = 1/T. The frequency indicates how many cycles exist in one second. To honor one of the 19th century researchers in the field, instead of calling the unit “cycles per second”, we use hertz, named after Heinrich Hertz and abbreviated Hz.
What are the period and frequency of y = sin(2x)? The 2 has the effect of shortening the wave length or period. Waves appear on the graph twice as frequently as in y = sin(x). The graph shown below uses a WINDOW of X: and Y: (-2, 2, 1).
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.
