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College Algebra / Unit 5   Alg 281 short lesson, about 20 seconds

Vertical Shifts

Captions available

The idea

Adding a constant to a function's output shifts its graph vertically: g(x) = f(x) + k moves every point up k, or down for negative k.

In practice

From f(x) = x² to g(x) = x² + 2, the point (1, 1) rides up to (1, 3). Inputs stay put; outputs travel.

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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