2019年2月17日 · $\begingroup$ One can assign many phase shifts to the same function, each of which will produce the same graph. Take any phase shift and add or subtract any multiple of the period and that will produce another valid phase shift. But ideally the best value to use for the phase shift is the one with smallest absolute value.

To figure out the vertical shift, what would you do to a function centered on the x axis to achieve the given graph. In this case you are adding 1. (going from a function with a range of $[-2,2]$ to $[-1,3]$) Then a simple way to find a phase shift is to look at the part of the graph that would normally correspond to $\cos(0)$.

2014年12月2日 · I am now trying to find the phase shift. I moved the 'working x-axis' 2 units down, in accordance with the vertical displacement of -2. Since the cosine function starts at 1 on the y-axis, how do I find the phase shift. If the x-axis is at -2, then the point where y=1 is a tiny fraction of a unit away from the y-axis. So how do I find the phase ...

2022年2月3日 · For the left-moving wave, +, $\phi_+$ is the amount you need to shift the true origin of the cycle, x=2, to the left, to position it at the crossing of the axes, in your left graph. For the right-moving wave, $-$ , you need to do the same to x =5, by $-\phi_-$ to get minus the standard cycle, as dictated by the above sine function.

2024年9月25日 · What is a phase shift in trigonometry, and how can I determine them given a graph? 0 Sine regression phase shift with known amplitude and period from data points

I understand phase shift as the shift from $ sin(2x) $, and in a graph it is plain that the actual phase shift $ \frac{\pi}{3} $! $\endgroup$ – lericson Commented Oct 4, 2013 at 16:38

2018年7月1日 · $\begingroup$ I'm not really understanding what your goal is. Adjusting the value C shifts the graph horizontally to wherever you want it to be.

2018年12月7日 · Why does the horizontal phase shift of: $ 2\sin(-3x-\frac\pi2) $ shift to the right instead of to the left ...

2015年12月18日 · $\sin(\theta + \frac{\pi}{4})$ means a phase shift of -45°. Typically phase shift is used for determining the phase relationship between two waveforms. In your case, you have two identical sine waves (Amplitude A, DC offset D and frequency B).

2014年10月1日 · In a function like $\\sin(2x + 3)$ why is the phase shift $\\frac{3}{2}$ units to the left instead of 3 units to the left