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College Algebra / Unit 5   Alg 287 short lesson, about 20 seconds

Vertical Stretches and Compressions

Captions available

The idea

A constant multiple on the output stretches the graph vertically when the constant exceeds 1 and compresses it when the constant sits between 0 and 1.

In practice

From x² to 2x², the point (1, 1) climbs to (1, 2): every output doubled, the parabola narrowed.

Where people slip

Outputs of zero stay zero under any stretch.

Your place on the trail

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

Builds on

  • Nothing. This is a starting point.

Unlocks

  • Nothing yet depends on this.

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