1. The problem asks to determine the domain on which the quadratic function is increasing. 2. The graph is a parabola opening upwards with vertex at approximately $(2, -4)$. 3. For a quadratic function $f(x) = a(x-h)^2 + k$ with $a > 0$, the function decreases on $(-\infty, h)$ and increases on $(h, \infty)$, where $(h,k)$ is the vertex. 4. Since the vertex is at $x=2$ and the parabola opens upwards, the function is increasing for all $x > 2$. 5. Therefore, the domain on which the function is increasing is $(2, \infty)$. Final answer: The function is increasing on the interval $(2, \infty)$.