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Quadratic Vertex Calculator

Enter a, b, and c for ax² + bx + c to calculate its vertex and key parabola properties.

Vertex (3, -4)Axis of symmetry x = 3
16Discriminant
UpOpens
3Axis x

How to use this Quadratic Vertex Calculator

Find the vertex, axis of symmetry, discriminant, and opening direction of a quadratic. Enter your values above and the result is calculated directly in your browser. No account is required.

Fast answer, clear inputs

This tool is built around one job: give the answer quickly without forcing a signup or hiding the result. Related tools are linked nearby when the next calculation or conversion is useful.