Interactive math tool
Quadratic Equation Graphing Tool
Free interactive quadratic equation graphing tool. Drag a, b, and c to explore parabola opening, axis of symmetry, and vertex — for class and self-study.
The graph of y = ax² + bx + c is a parabola. Interactive visualization builds intuition faster than memorizing formulas: change a parameter and instantly see how the opening, axis, and vertex move.
How it works
- Open the interactive tool for the quadratic function scene.
- Drag the a, b, and c sliders and watch the parabola update.
- Track the axis of symmetry x = −b/(2a) and the vertex.
- Ask “what if a becomes negative?” in class or while practicing alone.
Classroom example
Start with a = 1, b = 0, c = 0 (y = x²). Change b to shift the axis. Flip the sign of a to show opening direction and max/min behavior.
FAQ
Is this quadratic graphing tool free?
Yes. It runs in the browser with no install required.
Can I see the vertex and axis of symmetry?
Yes. As parameters change, the visualization labels the vertex and axis so you can match them to the formulas.