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College Algebra / Unit 6   Alg 324 short lesson, about 20 seconds

General Form and Standard Form

Captions available

The idea

A quadratic function wears two forms: general form ax² + bx + c, and standard form a(x − h)² + k, with vertex (h, k).

In practice

x² − 4x + 3 and (x − 2)² − 1 are one function: expand the second, the first returns.

Where people slip

Some books nickname standard form vertex form.

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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