Graphing Elementary Transformations of Basic Functions

3D

abs( )

function

sin

cos

sinc

amplitude a

1

phase ϕ

0

latitude d

0

power p

1

π

2

frequency ω

π

2

y min

-1

y max

1

π

2

x min

-2π

π

2

x max

2π

This Demonstration helps you understand how three basic functions are transformed according to changes in some parameters. For each basic function

f

, the Demonstration shows the graph of

y=a

p

f(ωx+ϕ)

+d

in two dimensions and the graph of

y=a

p

f(ωxy+ϕ)

+d

in three dimensions.