periodic functions
sin, cos
determines vertical shrinking / stretching
amplitude
determines horizontal shrinking / stretching
period
amplitude
|a|
period of sin, cos, csc, sec
2(pi) / |b|
horizontal shifting of graph
phase shift
vertical shifting of graph
vertical shift
set of real numbers
domain
y = a(function)b(x-c)+d
graph of a function’s general formula
period of tan, cot
pi / |b|
Simple harmonic motions are periodic / repetitive motions that can be represented by _____ or _____.
sin, cos
y = asinb (t-c) + d
y = acosb (t-c) + d
simple harmonic motion
phase shift
c
vertical shift
d