Chapter 10 - Section 10.4 - The Parabola; Identifying Conic Sections - Exercise Set - Page 801: 97

See the explanation below.

Standard form of a parabola is $x=a(y-k)^2+h$ and Here, vertex:$(h,k)$ As we are given that two equations of a parabola $x=4y^2$ and $x=4(y-1)^2+2$ Compare both the equations with standard form ,we have vertex:$(0,0)$ and vertex:$(2,1) $