Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.
Write a coordinate rule for a translation
Problem
Write the coordinate rule that translates a point right \(4~\text{units}\) and up \(3~\text{units}\).
Big Picture
What this problem is really about
A coordinate transformation rule should encode the same movement for every input point. We’ll translate the horizontal and vertical directions separately into signed coordinate changes, keep each displacement attached to its matching coordinate, and then combine them into one function rule that can be checked on a simple test point.
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