Parabola Plotter (y = ax² + bx + c) – Tutorial

Summary

Parabola: y = ax² + bx + c 1) Vertex - The turning point of the parabola. - x_vertex = -b / (2a) - y_vertex = f(x_vertex) 2) Roots (where the graph crosses the x-axis) - Solutions to ax² + bx + c = 0. - Discriminant: Δ = b² - 4ac - Δ > 0 → 2 real roots - Δ = 0 → 1 double root - Δ < 0 → no real roots (roots are complex) 3) Opening direction - a > 0 → opens upward (∪) - a < 0 → opens downward (∩) This tool plots the graph and displays all this information in a clear, step-by-step format.