## Curve B1's AMM Curve We are going to cover the Uniswap V2 AMM curve, specifically the B1 curve. The equation for a constant product curve is: ``` x * y = k ``` We can also graph the constant sum curve using the equation: ``` x + y = d ``` In this case, instead of using _k_, we will use _d / 2�_. The B1 curve equation is a combination of the constant product and constant sum curves. The equation is as follows: ``` xy + A(x + y) * (d / 2)� = (d / 2)� + AD� ``` The parameter _A_ defines how flat the curve is. As _A_ increases, the curve becomes more flat and looks like the constant sum curve. If _A_ decreases, the curve behaves more like the constant product curve. We can also see this by multiplying the constant sum equation by _x_ and _y_: ``` xy + A(x + y) * (d / 2)� = (d / 2)� + AD� ``` We can further adjust the equation by dividing by _d / 2�_: ``` xy / (d / 2)� + A(x + y) = 1 + AD� / (d / 2)� ``` We can see that if _x_ and _y_ are equal to _d / 2_, the term _xy / (d / 2)�_ is equal to 1. Conversely, if _x_ and _y_ are not equal to _d / 2_, the term approaches zero. When _x_ and _y_ are balanced, the curve behaves like the constant sum curve. However, when _x_ and _y_ are imbalanced, the curve behaves more like the constant product curve. In summary, the B1 curve is a combination of constant product and constant sum curves. This gives the curve the ability to behave like either curve depending on the balance of the tokens.