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Transformations
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Mathematics
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Copyright informationCOPYRIGHT 2002 The Gale Group Inc. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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Transformations
A transformation is a mathematical function that repositions points in a one-dimensional, two-dimensional, three-dimensional, or any other
n
-dimensional space. In this article, only transformations in the familiar twodimensional rectangular coordinate plane will be discussed.
Transformations map one set of points onto another set of points, generally with the purpose of changing the position, size, and/or shape of the figure made up by the first set of points. The first set of points, from the
domain
of the transformation, is called the set of pre-images, whereas the second set of points, from the
range
of the transformation, is called the set of images. ...