How To Find The Vertex Of A Quadratic Equation?

For a quadratic in standard form (y = ax^2 + bx + c), use (x = -frac{b}{2a})

Substitute (x = -frac{b}{2a}) into the equation to find (y)

The vertex is (left(-frac{b}{2a}, fleft(-frac{b}{2a}right)right))

For a quadratic in vertex form (y = a(x-h)^2 + k), the vertex is ((h, k))

If the quadratic is factored, first expand it or rewrite it in vertex form

Use graphing or completing the square if needed to confirm the vertex

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