Examples of transformation (mapping) figures
**© 2000 M. Flashman.**

created by Martin Flashman 1-28-01

Made using **JavaSketchpad**,
a World-Wide-Web component of *The
Geometer's Sketchpad.* Copyright ©1990-1998 by Key Curriculum
Press, Inc. All rights reserved.

**One variable
controlling one variable: a linear example.**

**One variable controlling
two variables.**

**Three variables
controlling one variable.**

**One
variable controlling one variable: a linear example.**

Here is a dynamic transformation figure visualizing the function *x*
-> *ax+ b**.*

To change the values of *a* and *b,* drag the arrow points.

To change the value of *x,* move the point labeled *x *on
its axis*.*

To change the scale of the figure move the the point labeled 1 on its
axis*.*

Turn the animation on and/or off by clicking on the "animate *x*"
button.

You can slow down or speed up the animation by using the <
and > keys.

__See what you can discover about this type of function using
this figure.__

This dynamic sketch uses **JavaSketchpad**,
a World-Wide-Web component of *The
Geometer's Sketchpad.*

####

**One variable controlling
two variables.**
####

The single variable t controls two variables **x**(t) and **y**(t)
visualized by a (plane position) vector.

To erase the points left by the tracing use the red x in the corner
of the java window.

**Three
variables controlling one variable.**

####

The three variables **a, b, and c,** determined by a point in
space, control the one variables **w**(x,y,z), visualized by a point
on the W - axis.