1. **Problem Statement:** Determine the domain of the function $f$ from the given graph. 2. **Understanding Domain:** The domain of a function is the set of all possible input values ($x$-values) for which the function is defined. 3. **Analyzing the Graph:** The graph shows a parabola opening upwards with the vertex near $(3,0)$. 4. The parabola extends from approximately $x = -6$ on the left to $x = 12$ on the right, covering all $x$-values in between. 5. Since the parabola is continuous and defined for all $x$ between $-6$ and $12$, the domain is the interval including these endpoints. 6. **Final Answer:** The domain of $f$ is $$[-6, 12]$$.