Family of Functions
Author: Mike May, S.J.
Date: 2/18/2006

Above

Below

G(x)=c * f (  b *(x-a) ) + d

Horizontal Shift

Horizontal Stretch/Compress

Vertical
Stretch

Vertical
Shift

a = 2.2 (slider from -5 to 10, step 0.1)
b = 2.2 (slider from -5 to 5, step 0.1)
d = -0.5 (slider from -5 to 5, step 0.1)
c = 0.6000000000000001 (slider from -3 to 3, step 0.1)
f(x) = sin(x)
T(x) = d + c f(b (x - a))