How To Calculate The Vertex Of A Parabola?

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

For a parabola in factored form (y = a(x-r_1)(x-r_2)), use (x = frac{r_1 + r_2}{2}) to find the vertex’s (x)-coordinate

Substitute that (x)-value into the equation to find the vertex’s (y)-coordinate

For a vertical parabola, the vertex is the minimum point if (a > 0) and the maximum point if (a < 0)

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