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Parabola Vertex Calculator

Enter a, b and c of the quadratic y = ax² + bx + c — you will get the vertex, axis, discriminant, roots (x-intercepts) and y-intercept with steps.

How to use

  1. Enter a (not 0), b and c.
  2. Vertex x is found from x = −b/(2a), then y is calculated.

Note: If a is positive, the parabola opens upward and the vertex is the minimum point; if a is negative, the vertex is the maximum. If the discriminant is negative, there are no x-intercepts (no real roots).