How to Find Vertex Formula?

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 in factored form (y=a(x-r_1)(x-r_2)), use (x=frac{r_1+r_2}{2})

Substitute that (x)-value into the equation to find (y)

The vertex is the point where the parabola changes direction

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