Now, for two parabola, openint up in the seme direction, the thing that distinguishes them, as far as their shape is concerned is "a"(the distance between the focus and the vertex).
General equation of a parabola opening up is (x-h)^2 = 4a(y-k) where (h'k) is the vertex of the parabola.
In your original parabola(y = 4x^2 - 5), a is 1/4
So a in your parabola is going to be 1/16, since they ought to be congrent.
So, general equation is (x-1)^2=4*1/16(y-2)