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Vertical Shifts

This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.

State

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.

Show

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

Builds on

  • Nothing — this is a starting point.

Unlocks

  • Nothing yet depends on this.