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Basic Rigid Motions in Depth: Reflection over a Line

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Explanations 1

Definition of Reflection: The operation of exchanging all points of a mathematical object with their mirror images is called reflection.
By Devarsh Ruparelia, Moor Xu

Problems 1

Let fff be an affine function; i.e. f(x)=ax+bf(x) = ax + bf(x)=ax+b. Let ggg be fff reflected about the line y=cxy = cxy=cx for some constant c≠ac \not= ac=a. Find the value o…