Question
Unit Activity: Introduction to Geometry and TransformationsTransformations can be treated as functions that map every point in a pre-image to one image point.Task 1A. Write coordinate rules for:- a translation a units right and b units up;- reflections across the y-axis and x-axis;- rotations of 90°, 180°, and 270° counterclockwise about the origin.B. Explain how transformation functions compare with the algebra functions you have used before.C. Write one coordinate rule for each composition:1. Rotate 90° counterclockwise about the origin, then reflect across the x-axis.2. Reflect across the y-axis, then translate a units right and b units up.3. Translate a units right and b units up, rotate 180° about the origin, then reflect across the y-axis.
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The activity wording is paraphrased from indexed copies of the worksheet. Coordinate rules and compositions were derived independently from standard transformation definitions; the third composite was recalculated rather than copied from a third-party answer post.