Completing the Square
Rewrite a quadratic in vertex form a(x − h)² + k with every step, and read off the vertex, axis of symmetry and extreme value.
Rewrite a quadratic in vertex form a(x − h)² + k with every step, and read off the vertex, axis of symmetry and extreme value.
Your result will appear here
Rewrites a quadratic in vertex form using exact fractions. Vertex form shows at a glance where the parabola turns and what its smallest or largest value is.
Example
x^2 + 6x + 5
→ (x + 3)^2 − 4, vertex (−3, −4)
The general completed-square identity.