Identifying Types of Conic Sections

Create an educational diagram for identifying conic section types. Show a dynamic conic curve in the center, whose shape is controlled by six adjustable numeric parameters representing coefficients in its equation. Place six input boxes near or below the curve, each linked to one parameter, allowing users to change values and alter the curve type. Display the discriminant value prominently, and use color or labels to indicate whether the current curve is an ellipse, hyperbola, or parabola based on its sign. Keep the layout clear for classroom use, emphasizing the relationship between parameter changes and curve classification.