1. The problem asks us to determine which statements about the function $g(x)$ are true based on the graph. 2. From the graph description, the vertex is at approximately $(0, -1)$, and the curve passes through points $(0, -1)$, $(1, 0)$, and $(2, 3)$. 3. Evaluate each statement: - $g(1) = -1$: From the graph, at $x=1$, $g(1) = 0$, so this is false. - $g(0) = 0$: From the graph, at $x=0$, $g(0) = -1$, so this is false. - $g(4) = -2$: The graph is a parabola opening upwards with vertex at $(0, -1)$ and increasing values for $x>0$. At $x=4$, the value is likely positive and not $-2$, so this is false. - $g(1) = 1$: From the graph, at $x=1$, $g(1) = 0$, so this is false. - $g(-1) = 1$: Since the parabola is symmetric about the y-axis and $g(1) = 0$, $g(-1)$ should also be $0$, not $1$, so this is false. 4. None of the statements are true based on the graph description provided. Final answer: No statements are true.