1. No category

6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
6.6 Investigating Models of Sinusoidal 2015 04 29
Functions
Any sinusoidal function can be modeled by either sine or cosine. The one that you choose will affect the phase shift of the curve and possibly the sign of the 'a' value.
If the graph starts at it's maximum it is best modeled by a cosine function.
If the graph starts at it's minimum it is best modeled by a cosine function reflected in the x‐axis (a negative 'a' value).
If the graph starts along the axis of the curve, it is best modeled by a sine function.
1
6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
Ex. Determine the equation of the following graphs.
y=acos[k(x­d)]+c
y=asin[k(x­d)]+c
2
6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
y=acos[k(x­d)]+c
y=asin[k(x­d)]+c
3
6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
Ex. Determine the equation of the functions represented by the following table of values
4
6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
5
6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
Phase shifts
Some graphs will not have their y‐intercept at the maximum, minimum or right on the axis of the curve. These graphs represent functions that have experienced a phase shift. For these graphs you can choose either a sin or cos function that has been shifted.
6
6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
7
6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
Pg. 391 #1,3,4‐6a,9,11
8
6.6 Investigating Models of Sinusoidal Functions.notebook
April 29, 2015
9