An affine transformation is like when you take a shape or a picture and move it around, but keep the same shape and size. It's like if you had a sticker of a triangle and you moved it up, down, left or right. It wouldn't change shape or size, but it would be in a different place.
But it's not just moving up, down, left or right. You can also make the sticker bigger or smaller, or even turn it around. It's like if you had a sticker of a triangle and you stretched it to make it bigger or smaller. Or you could also turn the sticker upside down or make it tilt to the side.
So an affine transformation is just a way of moving and changing shapes while keeping the same basic shape and size. It's like playing with stickers on a piece of paper, but with fancier math.