If the quadratic is in the form (y=ax^2+bx+c), identify (a), (b), and (c).
Compute the vertex (x)-coordinate: (h=-frac{b}{2a}).
Compute the (y)-coordinate: (k=f(h)=ah^2+bh+c).
Write the vertex form as (y=a(x-h)^2+k).
Substitute (a), (h), and (k) into (y=a(x-h)^2+k).
If needed, simplify to get the final vertex form.