Hey I am working on a problem involving Stokes Theorem, and have found the curl to be <-3y, xz, 0>

So to find the integrand I need to take the dot product of this and the normal vector of the surface, but I am having trouble parametrizing the surface.

The surface is defined as 2z = x^2 + y^2 below the plane z = 1 - y

I need to find the normal vector in terms of two variables and also the bounds of these two variables