Start with the quadratic in standard form: (y = ax^2 + bx + c)
Factor out (a) from the (x^2) and (x) terms if (a neq 1)
Complete the square
Rewrite the expression as (y = a(x-h)^2 + k)
Identify the vertex as ((h, k))
Use (h = -frac{b}{2a}) to find the x-coordinate of the vertex
Substitute (h) into the quadratic to find (k)
If the quadratic is already factored or given in another form, expand or complete the square to convert it to vertex form