3y² - x² = 3x - 2y

x intercepts:	y intercepts:
x=1 → y=

3y² + x² = 3x - 2y

x intercepts:	y intercepts:
Min y value:	Max y value:
x=1 → y=

y² - x² = 2

x intercepts:	y intercepts:
	√2 ≈
x=1 → y=
Symmetries:

y² + x² = 3

x intercepts:	y intercepts:
√3 ≈
x=1 → y=
Symmetries:

y² = x³ + 3x²

a Tschirnhausen cubic
x intercepts:	y intercepts:
Min x value:
x=1 → y=
Symmetries:

NB. none of these are functions.