following f(x)=af(b(x-h))+k as my general guideline for writing transformations, you need to know the point (h,k) serves as the "new origin" of the function.
in your original equation (the squared function),
a=4
b=1
h=0
k=0
we need h=-9 and k=2, so plopping those numbers in gives you
f(x)=4(x+9)^2 +2
