For a quadratic in standard form (y = ax^2 + bx + c), calculate the x-coordinate of the vertex using (x = -frac{b}{2a})
Substitute (x = -frac{b}{2a}) into the equation to find the y-coordinate
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))
For a parabola from a graph, identify the highest or lowest point as the vertex
For a general quadratic, complete the square to rewrite it in vertex form
For a function with a turning point, find where the slope or derivative equals 0 if using calculus