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ACT Preparation / Unit 10   ACT 0921 short lesson, about 20 seconds

The Absolute Value Function

Captions available

The idea

The absolute value function, f(x) = |x|, makes a V with its vertex at the origin. In y = a|x − h| + k, the vertex moves to (h, k).

In practice

y = |x + 1| − 2 has its vertex at (−1, −2) and opens up.

Where people slip

A negative a turns the V upside down, and its vertex becomes a maximum.

Your place on the trail

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

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