Algebra Calculators
Completing the Square Calculator
Rewrite ax² + bx + c in vertex form a(x − h)² + k, with the steps shown.
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What is Complete the Square?
Completing the square rewrites a quadratic as a perfect square plus a constant, which exposes the vertex of the parabola and is the technique behind the quadratic formula itself.
How it works
The tool computes h = −b/2a and k = c − b²/4a, then builds a(x − h)² + k, printing each substitution so the algebra can be followed rather than only the answer copied.
- Enter your input. Type or paste your input into the field above — the tool responds instantly.
- Review the result. Output updates live as you type. Everything runs entirely in your browser.
- Copy or download. Use the Copy button to grab the result, or Download to save it as a file.
Examples
Realistic sample
Type or paste any realistic input — the tool computes the result locally and instantly.
Common mistakes
Expecting a server round-trip
Nothing is uploaded — every tool in this category runs entirely in your browser.