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Graphing Quadratic Inequalities Calculator

Result

Calculated result Discriminant: 1 | Roots: [1, 2] | Parabola: opens up | Relation: le Based on the values entered.
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Graphing Quadratic Inequalities Calculator — free online calculator.

Formula

Analyze a·x² + b·x + c relative to zero using its roots and parabola direction.
  • Graphing Quadratic Inequalities Calculator calculates its result from a, b, c, Relation. It uses the formula Analyze a·x² + b·x + c relative to zero using its roots and parabola direction.. Change any input to recalculate the result instantly.
  • The main inputs are a, b, c, Relation. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Graphing Quadratic Inequalities

Inputs
  • a: 1
  • b: -3
  • c: 2
  • Relation: le

Using a = 1, b = -3, c = 2, Relation = le, the calculated result is Discriminant: 1 | Roots: [1, 2] | Parabola: opens up | Relation: le.

Sample result: Calculating…

Frequently asked questions

What does the Graphing Quadratic Inequalities calculate?

Graphing Quadratic Inequalities Calculator — free online calculator.

Which values should I enter?

Enter a, b, c, Relation using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Analyze a·x² + b·x + c relative to zero using its roots and parabola direction..

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026