First look only at the shape, not the scale or position of the graph. These can later be adjusted by choosing the range of the coordinates.
the front right side seems to be a parabola opening to the bottom so something like $z = -y^2$
the shape on the right back wall is also a parabola (see the grid) but opening to the right $z = -\sqrt{x}$.
the surface seems to be the product of the two, avoiding double negative and shifting it up leads to $$z=1-y^2\sqrt{x}$$