conic standard forms and info

Question 1

ellipse

Answer 1

direction is based on where a is, a is the greater number
c squared = a squared - b squared
c = distance of focus from center

Question 2

hyperbola

Answer 2

if x squared is first, sideways, if y squared is first, vertical
a is first, not necessarily bigger
c squared = a squared + b squared
c = distance of focus from center

Question 3

parabola

Answer 3

opens up/down if x is squared, opens right/left if y is squared
up if p >0, down if p<0
right if p>0, left if p<0
(x - h)^2 = 4p(y -k)