Function Transformations

a

b

c

d

x-value

reset

plot label

point location

grid lines

large format

This Demonstration allows you to investigate the transformation of the graph of a function

f(x)

to

af(b(x-c))+d

for various values of the parameters

a

,

b

,

c

, and

d

. In addition to showing the original and transformed curves, it displays an individual movable point on the original curve and the image of the point on the transformed curve. The Demonstration also divides the original curve into two portions and shows the images of these two portions on the transformed curve to emphasize how negative

b

values can affect the transformation.