transformations

A

Used to identify a horizontal expansion/compression and the period

B

is used to identify a horizontal shift (phase shift) left or right

C

Is used to identify the vertical expansion/compression and the amplitude

D

Is used to identify a vertical shift up or down and corresponds to the midline of the function

Transformations

What should be applied in order ABCD?

f(x)=Csin(A(x-B))+D

Sine equation

g(x)=Ccos(A(x-B))+D

Cosine equation

(Max-min)/2

Amplitude (aka C)

(Max+min)/2

Vertical shift (aka D)

2pi/period

To find A

Identify starting point

To find the phase shift (aka B)