Cartesian Equation of Witch of Agnesi/Also presented as

Theorem
The cartesian equation of the Witch of Agnesi can also be seen presented as:


 * $x^2 y = 4 a^2 \paren {2 a - y}$

Some sources present the curve with the $y$-axis as the asymptote:
 * $x y^2 = 4 a^2 \paren {2 a - x}$