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