1. **Problem Statement:** Determine the domain and range of the given function whose graph is a parabola opening upward with a closed endpoint at approximately $(-4,1)$, a vertex at $(-2,-3)$, and passing through $(0,1)$. 2. **Domain:** The domain of a parabola is all the $x$-values for which the function is defined. Since the parabola has a closed endpoint at $x=-4$ and extends to the right indefinitely, the domain is all $x$ such that $x \geq -4$. - Set-builder notation: $\{x \mid x \geq -4\}$ - Interval notation: $[-4, \infty)$ 3. **Range:** The range is all $y$-values the function takes. The vertex is the minimum point at $y=-3$, and the parabola opens upward, so the range is all $y$ such that $y \geq -3$. - Set-builder notation: $\{y \mid y \geq -3\}$ - Interval notation: $[-3, \infty)$ 4. **Summary:** - Domain: $\{x \mid x \geq -4\}$ or $[-4, \infty)$ - Range: $\{y \mid y \geq -3\}$ or $[-3, \infty)$