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College Algebra / Unit 6   Alg 322 short lesson, about 20 seconds

The Vertex and Axis of Symmetry

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The idea

The vertex is the parabola's extreme point — lowest opening up, highest opening down — and the axis of symmetry is the vertical line through it.

In practice

For f(x) = x² − 4x + 3, the vertex is (2, −1) and the axis is x = 2; the halves mirror across it.

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