@top_maths_5m: When algebra meets geometry live. 📐✨ Visual and rigorous demonstration of the transition from the expanded form (ax^2 + bx + c) to vertex form (a(x - \alpha)^2 + \beta). On the agenda: the natural emergence of the discriminant \Delta = b^2 - 4ac, with \alpha = -\frac{b}{2a} and \beta = -\frac{\Delta}{4a} = f(\alpha) as the exact coordinates of the parabola's vertex. More than just a formula to apply, a trajectory to understand. #math #animation #fyp #function #vertex

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