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Transformations of Trigonometric functions

March 26, 2017

y=a sin bx


A= amplitude = the height from the center line to the peak (or to the trough)

Period = 2Pi/ b= distance from one peak to the next (or from any point to the next matching point).

Frequency is how often something happens per unit of time (per "1").


Horizontal Shifts:

y= sin(x-2Pi)

move graph 2 Pi units to the right


Vertical Shifts


move graph 3 units down



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