something that you have to know is...
this formula is
so important if you want to understand the next step
How to define period, amplitude, phase shift and vertical shift of a periodic function?'
Period--- When does it start to repeat? For instance, for period of sin(x) is 2*pi because it repeats every 2*pi.
Amplitude--- How high does the graph go? In other words, the maximum value minus the minimum value. For instance, the amplitude of sin(x) is 2 because it goes from 1 to -1.
Phase Shift--- How far is the graph shifted over to the right? For example, the phase shift of sin(x) is 0 because it is not moved at all in the x direction.
Vertical Shift--- How far is the graph shifted up? For example, the vertical shift of sin(x) +1 is 1 because the graph is shifted up 1 unit of sin(x).
Amplitude--- How high does the graph go? In other words, the maximum value minus the minimum value. For instance, the amplitude of sin(x) is 2 because it goes from 1 to -1.
Phase Shift--- How far is the graph shifted over to the right? For example, the phase shift of sin(x) is 0 because it is not moved at all in the x direction.
Vertical Shift--- How far is the graph shifted up? For example, the vertical shift of sin(x) +1 is 1 because the graph is shifted up 1 unit of sin(x).
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