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The Vertex Formula

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State

From general form, the vertex sits at h = −b/(2a) with k = f(h); the axis is that same x.

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For x² − 4x + 3: h = 4/2 = 2 and k = f(2) = −1 — vertex (2, −1), no conversion needed.

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Compute k by evaluating, never from c.

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