Rewrite ax² + bx + c as a(x − h)² + k, step by step.
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Why it works
Adding and subtracting (b/2a)² inside the factored form creates a perfect-square trinomial x²+2mx+m² = (x+m)². The result a(x−h)²+k instantly reveals the vertex (h,k) — it is how the quadratic formula itself is derived.
