1. The problem states that the graph represents the height $y$ of water sprayed from a sprinkler at distance $x$ feet from the sprinkler. 2. The graph is a parabola symmetric about the vertical line $x = 4$ because that's the vertex's x-coordinate. 3. Symmetry about $x=4$ means the height of the stream of water at a distance $d$ feet to the left of $x=4$ is the same as at $d$ feet to the right of $x=4$. 4. In context, this tells us that the height of water at $4 - d$ feet from the sprinkler equals the height at $4 + d$ feet from the sprinkler for any $d$ in the domain. 5. Since the solid portion of the graph is from $x=0$ to $x=8$, for example, the height at $1$ foot from the sprinkler ($x=1$) is the same as the height at $7$ feet ($4 - 3$ and $4 + 3$), because both are $3$ units from $4$. 6. This means the stream of water has the same height at equal distances on opposite sides of the line $x=4$. Final answer: The graph is symmetric about the vertical line $x=4$. The height of the stream of water $d$ feet to the left of $4$ is the same as the height $d$ feet to the right of $4$. For example, the height at 1 foot from the sprinkler is the same as at 7 feet from the sprinkler.