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ACT Preparation / Unit 10   ACT 0917 short lesson, about 20 seconds

Vertical Shifts

Captions available

The idea

Adding a constant outside the function, f(x) + k, shifts the graph up by k; subtracting shifts it down.

In practice

f(x) = x² + 3 is the parabola x² moved up 3.

Where people slip

A vertical shift adds k to every output and leaves every input alone, so the range moves and the domain does not.

Your place on the trail

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

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