to project, reflect, or cast an image or light onto something; to display or show (transitive).
プロジェクターでプレゼン資料をスクリーンに映す。
I project the presentation materials onto the screen with a projector.
水面に月を映すと、とてもきれいだ。
When the moon is reflected on the water, it's very beautiful.
写真に彼女の笑顔をうまく映すことができた。
I was able to capture her smile well in the photo.