> For the complete documentation index, see [llms.txt](https://artichoke.gitbook.io/abstract/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://artichoke.gitbook.io/abstract/single-sided-lp-mechanics/the-bonding-curve.md).

# The Bonding Curve

To sum up previous calculations, let's visualize$$K$$as the price moves on different scenarios:

![](/files/1lTIjUPD8ZwWvHPYUZEA)

When plotted, the constant product function is a quadratic hyperbola. The axes re- present the LP reserves: every trade starts at the point on the curve that corresponds to the current ratio of reserves. To calculate the output amount we need to find a new point on the curve, which has the $$x$$ coordinate of $$x + \Delta x$$ (and viceversa with $$y$$ and $$\Delta y$$)