A convex lens can form an image at the focal point if the object is placed at infinity. For objects that are far but not at infinity, the image will be nearly at the focal point. The relationship between the object distance, image distance, and focal length can be calculated using the lens equation: 1/f = 1/o + 1/i. This equation helps determine the precise distances involved in image formation. Understanding these principles is essential for practical applications of convex lenses.