The focal length of a lens can be calculated by dividing the distance from the lens to the image by the distance from the lens to the object. This is known as the thin lens equation: 1/f = 1/di + 1/do, where f is the focal length, di is the image distance, and do is the object distance.

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There are a few factors that can affect the focal length of a lens, including the curvature of the lens, the refractive index of the material the lens is made of, and the distance from the lens to the object. Additionally, changing the position of the object or lens can also alter the focal length.

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The relationship between focal length and image distance can be graphed by plotting the image distance on the x-axis and the focal length on the y-axis. This will result in a hyperbolic curve, with the focal length as the asymptote.

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The focal length of a lens and the magnification of an image are inversely related. This means that as the focal length increases, the magnification decreases, and vice versa.

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Focal length is the distance between the center of a lens and the point where light rays converge to form a sharp image. It is typically measured in millimeters (mm).