conic equations Flashcards
(20 cards)
1
Q
asymptotes when opened vertically
A
y = k +/- (b/a) (x-h)
2
Q
asymptotes when opened horizontally
A
y = k +/- (a/b)(x-h)
3
Q
eccentricity
A
c / a
4
Q
parametric equations for a line
A
x = x1 + t (x2-x1) y = y1 + t (y2-y1)
5
Q
parametric equations for a circle
A
x = h + r cos X y = k + r sin X
6
Q
parametric equations for an ellipse
A
x = h + a cos X y = k + b sin X
7
Q
parametric equations for a hyperbola
A
x = h + a sec X y = k + b tan X
8
Q
vertices
A
“a” units from the center
9
Q
foci
A
“c” units from the center
10
Q
x^2 or y^2 not present
A
parabola
11
Q
different signs on x^2 & y^2
A
hyperbola
12
Q
different coefficients on x^2 & y^2
A
ellipse
13
Q
same coefficients on x^2 & y^2
A
circle
14
Q
center
A
(h,k)
15
Q
co-vertices
A
minor axis (b)
16
Q
vertices
A
major axis (a)
17
Q
x^2 with -4p
A
down
18
Q
x^2 with 4p
A
up
19
Q
y^2 with -4p
A
left
20
Q
y^2 with 4p
A
right
