The image you provided seems to be a scenic view of a bridge, likely a parabolic or arched structure. To determine the vertex coordinates of the arch, we need to extract or assume mathematical data related to its dimensions, such as the shape of the arch or measurements.

Here's how we can proceed:

1. Geometric Context: If the arch of the bridge is parabolic, the vertex will be the lowest or highest point (depending on orientation) of the parabola.
2. Coordinate Setup: We can model the arch mathematically (e.g., $y = ax^2 + bx + c$ for a parabola) using any known values or approximate the vertex based on visual estimation.
3. Data Needed: Please provide measurements (like span, height, or key points of the arch), or clarify if you want a visual estimation.

Would you like me to assist with approximate modeling, or do you have data to proceed with precise calculations? Alternatively, I can guide you on how to measure dimensions from the image if needed.

Related Questions

1. Would you like a mathematical model of the bridge's arch?
2. Do you have any known dimensions (e.g., span width, arch height)?
3. Should I demonstrate how to find the vertex of a parabola using real data?
4. Would you like a step-by-step process for analyzing structures mathematically?
5. Do you need help understanding parabolas or bridge geometry in general?

Tip: For precise results, having exact measurements (e.g., using digital tools or specifications) ensures accuracy in vertex calculations.