The following graph of f (x) = x2 has been shifted into the form f (x) = (x - h) 2 + k: a parabola with a vertex of 4, negative 2

V (4,-2)

In the vertex form, the h value is the x and the k value is the y.

So if the vertex (4,-2) is also (h, k)

You can just simply replace the h and k in (x-h) ^2+k.

Which gives us ...

f (x) = (x-4) ^2-2.