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University of Regina (Canada)
University of Regina: Math Central: Symmetry and Translations
This University of Regina site gives some history and definitions about translations and symmetry.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rotating Parabolas
Dr. Math, in a reply to a student question, shows how to derive the equation of a parabola for situations when the line of symmetry is not || to one of the axes.