➗ Parabola Vertex Calculator

Find the vertex of y = ax² + bx + c.

Result

How this calculator works

Find the vertex of y = ax² + bx + c.

Formula

xᵥ=-b/(2a), yᵥ=f(xᵥ)

Example

For y=x²-4x+3, the vertex is (2,-1).

Frequently asked questions

What does the Parabola Vertex Calculator do?

Find the vertex of y = ax² + bx + c.

Are the results exact?

The calculator follows the displayed formula. Rounded display values may differ slightly from full-precision results.

Can I use negative or decimal values?

Most fields accept decimals and negative values when they make sense for the formula.

How should I check an important result?

Review the formula, verify your entries, and confirm high-stakes work with a qualified teacher or professional.