LUDO › Simulations › Quadratic Equations

Parabola Forge

Drag the vertex or the two roots and the curve follows. Watch the equation, the discriminant and the roots change as you shape it.

Physics · Class 11 · Shape the parabola · 6 simulations. For JEE, NEET and your boards.

A picture of the Parabola Forge simulation

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What you'll learn

  1. Touch the axis: Equal roots: the curve just touches
  2. Cross here & here: Roots are where the curve crosses
  3. Park the vertex: Vertex form shows the turning point
  4. Lift it clear: Above the axis: no real roots
  5. Both roots past the line: Where the roots sit
  6. Steeper curve: The leading coefficient sets the width