The document discusses the functions f(t)=A sin (Bt + C) and f(t)=A cos (Bt + C), explaining that they require an amplitude (A), period (determined by B), and phase shift (C) to define the wave pattern. It provides the formulas for these components and indicates that the amplitude is the distance from the midpoint to the highest/lowest points, while the phase shift represents horizontal displacement from the original position. An example function is given with defined values for amplitude, period, and phase shift.

1. By : Karla Infante
May 29, 2013
Per. 2

2. Functions of the form f(t)=A sin (Bt + C)
& f(t)=A cos (Bt + C)
 Graph
 |a| = amplitude
 2pi/b = period
 c/b = phase shift
 The amplitude (A) is the distance from the midpoint to the highest or
lowest point of the function.
 Phase shift is the amount of horizontal displacement of the function
from its original position.
 The period (T) is the distance between any two repeating points on the
function
 Sin function Cosine function
 y = Asin(Bx + C) + D y = Acos(Bx + C) + D

3.  EXAMPLE: amplitude 'A' = 1.5, period 'T'
= p/2, phase shift = p/3 and 'y' shift = 0.5
 b=4 c=4/3 π
 Graph: y = 1.5sin (4x + 4/3π) + 0.5
My understanding of unit 2 is that we need an amplitude, period, and phase
shift to determine what kind of periodic wave is going to come out of the
equation. I have also learned that there’s a formula to finding out the
period, amplitude, and phase shift. I am also aware that if its a positive then
the periodic wave is going to go to the left and that if its a negative then it goes
to the right.