Quadratic function y = ax² + bx + c: vertex, axis of symmetry, variation table

MathematicsFunctions & GraphsAges 15–16

The parabola y = ax² + bx + c is graphed with three sliders for a, b, c right in the simulation; students can also drag the vertex I directly to change b and c. The vertex I(−b/2a; −Δ/4a), the axis of symmetry x = −b/2a, the intercepts with both axes, Δ, and the variation table (arrows pointing up or down according to the sign of a) are drawn automatically and update instantly.