Complete the Square to Rewrite Quadratics

Rewrite ax²+bx+c as a(x−h)²+k, revealing the vertex (h, k) of the parabola.

Algebra 1Common Core HSA-SSE.B.3bA-SSEVerified correct ✓

Worked examples

Find the vertex of: f(x) = x² - 4x + 2
Answer: {"h": "2", "k": "-2"}

Find the vertex of: f(x) = -3x² - 6x - 2
Answer: {"h": "-1", "k": "1"}

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