Monday, January 7, 2008

applications of periodic functions

Today we started "Applications of Periodic Functions". We graphed y=sin(x) then started to learn transformations. The first one is the "A" value, it is the amplitude of the function, or the distance from the highest point to lowest point divided by 2.


The second transformation is the B value which is associated with the period of the function. The formula is period=2pie/B.
The period is the amount of horizontal space required for the function to repeat itself once.
Then we did phase shift which is simply the horizontal shift of the entire graph. Phase shift =-c/b
Finally the D value, vertical shift. If D is positive you move the whole graph up D amount and if D is negative you move the whole graph down D amount
y=Asin(Bx+C)+D

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