The vertex form of a quadratic function is given by
[tex]f(x)=a (x-h)^{2} +k[/tex], where (h, k) is the vertex of the equation.
In the given function, (h, k) = (2, 2), also a = 1 which is positive, this means that the parabola is facing up, hence the range is given by y ≥ k.
Therefore, range is y ≥ 2.