State the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation.

y= 2/3 cos ([x-3]/4) +1

The basic form of the equation that you are interested in is:



Where A = amplitude, = frequency, p = phase shift, and v = vertical dislacement. Can you take it fom there?

Quote:

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Originally Posted by Monophobic Fairy

State the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation.

y= 2/3 cos ([x-3]/4) +1

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We have a sinusoidal function whose general form is

y = Acos(wt + p) + v

The following formulas will be useful:


Amplitude = | a |

Period = 2pi / w

Phase shift = p / w

Vertical shift = d.

Can you take it from there?