1. The problem asks to find the value of $h(-1)$, which means we need to determine the output of the function $h(x)$ when $x = -1$. 2. From the description, $h(x)$ is a downward opening parabola. We need to find the $y$-value on this parabola at $x = -1$. 3. The graph shows the parabola passing near $(-5,0)$ and peaking near $(-4,3)$, but we need the exact value at $x = -1$. Since the graph is not given as an explicit formula, we rely on the visual or data points. 4. The table provided is for $g(x) = x + 2$, which is unrelated to $h(x)$ for this question. 5. Observing the graph description, at $x = -1$, the parabola is steeply descending. The approximate $y$-value at $x = -1$ is about $-8$ (as per the table for $f(x)$, but since $f(x)$ is not $h(x)$, we rely on the graph). 6. Since the graph is the main source, and the parabola passes near $(-1, -8)$, we conclude: $$h(-1) = -8$$ Final answer: $h(-1) = -8$