How do images appear in Google search results and how does that affect reputation?

Google Image search runs its own ranking algorithm with overlapping but distinct inputs from web search: filename, alt text, image file metadata, surrounding page text, page authority, and image freshness all matter. For reputation, the most common image problems are an unflattering photo, an outdated headshot, or a contextually damaging image (mugshot, protest, embarrassing event) that ranks for the name query. The work runs at three layers. First, optimize owned-property images: current, professional, properly tagged with ImageObject schema, and embedded on high-authority pages. Second, pursue source-level removal where the hosting page has a takedown process (most platforms do for specific categories). Third, build authoritative competing imagery published on strong domains with strong on-page context, which over time displaces the negative result.