Graphing Quadratic Inequalities Calculator

Calculate & Graph Your Quadratic Inequality

Quickly visualize and solve quadratic inequalities such as ax² + bx + c < 0. Our free calculator helps you find the vertex, roots, axis of symmetry, and determine the shaded solution region for any quadratic inequality.

Formula:

A quadratic inequality takes the form:

  • ax² + bx + c < 0
  • ax² + bx + c > 0
  • ax² + bx + c ≤ 0
  • ax² + bx + c ≥ 0

Where:

  • a, b, and c are real numbers,
  • and a ≠ 0.

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