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Math Calculators
Completing the Square Calculator
Convert a quadratic expression ax² + bx + c into vertex form a(x + h)² + k by completing the square.
h (in a(x + h)²)
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k
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About the Completing the Square Calculator
Completing the square rewrites a quadratic in the form a(x + h)² + k, which makes the vertex of the parabola immediately visible.
Formula: h = b ÷ 2a · k = c − b² ÷ 4a, so ax² + bx + c = a(x + h)² + k
This technique underlies the derivation of the quadratic formula and is used to find a parabola's vertex and to simplify integrals in calculus.
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