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ACT Preparation / Unit 10   ACT 0920 short lesson, about 20 seconds

Stretches and Compressions

Captions available

The idea

a·f(x) stretches the graph vertically by a when a > 1 and compresses it when 0 < a < 1. f(bx) compresses horizontally by b when b > 1.

In practice

3x² is narrower than x²; (1/2)x² is wider.

Where people slip

Inside changes work in reverse again: f(2x) squeezes the graph toward the y-axis by half.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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