Start with vertex form: (y=a(x-h)^2+k)
Expand the squared binomial: ((x-h)^2=x^2-2hx+h^2)
Distribute (a): (y=a(x^2-2hx+h^2)+k)
Multiply (a) through each term: (y=ax^2-2ahx+ah^2+k)
Combine the constant terms: (y=ax^2+bx+c)
Identify (b=-2ah) and (c=ah^2+k)