Complete the Square

Calculate Complete the Square instantly with the exact formula and a worked example.

Complete the Square

a
b
c
Vertex (x₀)
2
y₀ = -1a(x − 2)² + -1Calculate Complete the Square instantly with the exact formula and a worked example.

More about: Complete the Square

What it calculates

The “Complete the Square” calculator computes Vertex (x₀) from 3 parameters: a, b, c.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters a = 1, b = -4, c = 3 the result is 2 (y₀ = -1).

How to use

  1. Enter a, b and c — each field above is adjustable with a slider.
  2. Vertex (x₀) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Complete the Square calculated?
The Complete the Square calculator computes Vertex (x₀) from a, b, c. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Complete the Square calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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