Conic Sections Cheat Sheet by CROSSANT

Any point on a parabola is equidi­stant from the parabola's focus and directrix

c²=a²-b² and |a|≥|b­|>0
Formulas for foci generate two different points (+c and -c), and formulas for vertices generate four different vertices: (h+a,k) (h-a,k) (h,k+b) and (h,k-b)
Distances between a focal point to any point on the ellipse, plus the distance of the other focal point to that same point on the ellipse, gives a sum of distances that is constant for any point on the ellipse

c²=a²+b², |a|≠0, |b|≠0
Formulas for foci generate two different points (+c and -c), formulas for vertices generate two different points (+a and -a), and formulas for asymptotes generate two different asymptotes (+(a/b) and -(a/b) or +(b/a) and -(b/a))
Distance of a focal point to a point on either hyperbola branch, minus distance of the other focal point to that same point on that same hyperbola branch, gives a value whose magnitude is constant for any point on either hyperbola branch