A yellow circle head with black-outlined eyes, animated eyebrows, and a curved mouth is drawn in an SVG canvas using D3.js. The face is centered and constructed from primitive shapes, with eyebrows transitioning vertically over two seconds using `transition().duration(2000).attr('transform')`. The mouth is created via `arc()` with specified radii and angles. D3's `select` and `append` APIs build the SVG hierarchy.