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.