2.
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
Functions of the form f(t)=A sin (Bt
+ C) & f(t)=A cos (Bt + C)
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.
