An SVG smiley face is drawn with yellow circular head, black outlined eyes, and a black outlined mouth arc, all centered within a 960x500 viewport. The visualization uses React to render SVG elements, while D3.js provides the `d3.arc` generator to create the mouth path coordinates. Each facial feature is positioned using explicit pixel offsets and radii, and the mouth uses a defined inner radius, arc width, and start/end angles from pi/2 to 3pi/2. The drawing employs circle and path SVG elements with stroke styling.