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College Algebra / Unit 5   Alg 288 short lesson, about 20 seconds

Horizontal Stretches and Compressions

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The idea

A constant multiple on the input scales the graph horizontally backward: a constant over 1 compresses, a constant under 1 stretches.

In practice

g(x) = f(2x) with f(x) = x²: the output 1 now arrives at x = 1/2, since (2 · 1/2)² = 1. Half the width, same heights.

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