It's not real obvious that you have or have not the first one correctly determined. The way I might do it...

Graph y = 2

Graph x^2 = y

This divides the x-y plane into 5 distinct sections. Just pick a poitn from all 5 and see if it works.

Above the line and inside the parabola

(0,3)

Above the line and right of the parabola

(3,3)

Above the line and left of the parabola

(-3,3)

Below the line and inside the parabola

(0,1)

Below the line and outside the parabola

(2,1)

Let's see

(0,3): o^2 = 0 <= 3 <= 2 -- Nope.

(3,3): 3^2 = 9 <= 3 -- Nope.

(-3,3): (-3)^2 = 9 <= 3 -- Nope.

(0,1): 0^2 = 0 <= 1 <= 2 -- Yes!

(2,1): 2^2 = 4 <= 1 -- Nope.

That settles it. Below the line and inside the parabola.