Complete the Square

Calculate Complete the Square instantly with the exact formula and a worked example. Free online calculator — no signup, works on mobile.

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. Free online calculator — no signup, works on mobile.

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 the parameter values — every field above is adjustable with a slider.
  2. The result and related metrics are calculated automatically as you type.
  3. Use the additional metrics shown (if any) where needed.
  4. Copy the result or bookmark the page.

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