OK i haven't even done this topic but pretty sure i am a science nerd that looks at scientific journals and wears glasses and does physics so i should be qualified.
The convex lenses provide refractive power. This means it makes the light rays converge more.
The thicker the convex lenses are, the more power it gives and therefore the closer it makes the light rays converge.
More Thick= shorter focal length
Less Thick = longer focal length
Light needs to hit the retina directly in order for it to be a clear image.
The focal length is the length from the middle of the lens to the point where they converge.
Hopefully that helps, just see the link below for a picture of focal length,
http://topdifferences.com/wp-content/uploads/2017/02/converging-lens-300x209.gifThe closer the object the more divergent the light rays are and therefore the more power is required to make them converge on the retina.
In distance vision, the ciliary muscles are relaxed and the lens is pulled flat=less convex=less power
In close up vision,the ciliary muscles contract, suspensory ligaments loosen and the lens is allowed to slacken=more convex=more power The greater power counteracts the more divergent image.
In older people, where the lens is becomes too inflexible to be pulled(presbyopia), convex lenses can be worn over the eye to allow close objects to be seen.
That is why they need reading glasses. :

Helpful youtube video:
https://www.youtube.com/watch?v=YtpRpttPnHwHa ha, communication will be easy for me when I do it in term 3!
Mindless gibberish for my own notes:
Homeostasis controls the length of the eye in baby animals. Animals are often born with eyes too short or too long. The eye homeostatically adjusts its length in order to ensure that the light rays converge on the retina. (Longer eyes provide grater focusing power while shorter eyes provide less)
https://www.sciencedirect.com/science/article/pii/S0896627304004933