Parabola

• Vertical: x²=4py
• Focus:(0,p)
• Directrix: y=-p
• Axis ofsymmetry: (x=0)

Horizontal: y²=4px

• Focus: (p,0)
• Directrix: x=-p
• Axis of symmetry: (y=0)

Circle

Ellipse

Horizontal: x²/a²+y²/b²=1

• vertices: (±a,0)
• Co-vertices: (0,±b)

Vertical:x²/b²+y²/a²=1

• Vertices: (0,±a)
• Co-vertices: (±b,0)

Foci: c²=a²-b²

• c=center

Horizontal: x²/a²-y²/b²=1

• Asymptotes: y=±^b/ax
• Vertices: (±a,0)

Vertical: y²/a²-x²/b²=1

• Asymptotes: y=±^a/bx
• Vertices: (0,±a)

Foci: c²=a²+b²

c=center