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College Algebra / Unit 6   Alg 331 short lesson, about 20 seconds

Maximum and Minimum Values

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The idea

A quadratic function's extreme value is its vertex output k: a minimum when the parabola opens up, a maximum when it opens down.

In practice

x² − 4x + 3 bottoms out at −1; g(x) = −2x² + 8x peaks at g(2) = 8 — the sign of a picks which story.

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