The Parabola Calculator finds the vertex, axis of symmetry, and direction of a parabola from its equation y = ax² + bx + c. Simply fill in the fields above and click Calculate to get an instant result.
This calculator is part of Calculate Wiki’s Math Calculators collection.
What You’ll Need
- A, B, and C coefficients of y = ax² + bx + c
Formula Used
Vertex x = −b ÷ (2a)
Vertex y = a(Vertex x)² + b(Vertex x) + c
Discriminant = b² − 4ac
Example Calculation
Using example inputs — A = 1; B = -4; C = 3 — the Parabola Calculator returns:
| Value | Result |
|---|---|
| Vertex | (2, -1) |
| Direction | Opens upward |
| Roots | Two real roots |
Vertex: (2, -1), opens upward.
Helpful Information
Results from the Parabola Calculator are based on standard algebraic formulas used in the math calculators field.
Frequently Asked Questions
Is the Parabola Calculator free to use?
Yes — the Parabola Calculator on Calculate Wiki is completely free, with no sign-up required.
How accurate is the Parabola Calculator?
The Parabola Calculator uses a standard, well-documented formula from the math calculators field. Results are exact, not estimates.
Can I use this on my phone?
Yes, this calculator is fully mobile-friendly and works on any modern browser.
What does the result mean?
For the example values shown above (a=1, b=-4, c=3), the vertex is at (2, -1) and the parabola opens upward.