Parametric curve

Hello there little one! A parametric curve is like a special kind of drawing that you can make using math. It's like a picture that is created by moving a point around according to some rules.

Imagine you have a toy car with a remote control. The remote control has two buttons - one for going left and right and one for going up and down. Now, let's say you have a piece of paper with a dot in the middle. If you use the remote control to move the car left and right while keeping it perfectly lined up with the dot, you will draw a straight line.

But what if you want to draw something more exciting? Like a circle or a spiral? That's where a parametric curve comes in.

With a parametric curve, you can use special formulas to tell the car where to go. For example, you might tell it to move in a circle by going left or right the same amount each time as it goes up or down the same amount. By following this set of instructions, the car will draw a circle on the paper!

Using parametric curves, you can make all kinds of cool shapes and designs that you wouldn't be able to draw otherwise. It's like having your own special magic pen that can create whatever you can imagine, as long as you know the right instructions to give it.