Coordinate

Question 1

Ellipse Equation with Major axis horizontal:

Answer 1

(x-h)^2/a^2 + (y-k)^2/b^2 = 1 (h,k) = center of ellipse

Question 2

Ellipse Equation with Major axis vertical:

Answer 2

(x-h)^2/b^2 + (y-k)^2/a^2 = 1 (h,k) = center of ellipse

Question 3

Ellipse identity:

Answer 3

a^2 = b^2 + c^2

Question 4

Hyperbola Equation transverse axis horizontal

Answer 4

(x-h)^2/a^2 - (y-k)^2/b^2 = 1 (a is the distance from the center to a vertex, c is the distance from the center to a foci)

Question 5

Hyperbola Equation transverse axis vertical

Answer 5

(y-h)^2/a^2 - (x-k)^2/b^2 = 1 (a is the distance from the center to a vertex, c is the distance from the center to a foci)

Question 6

Hyperbola identity:

Answer 6

c^2 = a^2 + b^2

Question 7

Definition of Hyperbola:

Answer 7

the set of all points (x, y) in a plane, the difference of whose distances from two distinct fixed points (foci) is a positive constant.

Question 8

Asymptotes of Hyperbola with Transverse axis horizontal

Answer 8

y = k +- (b/a)(x-h)

Question 9

Asymptotes of Hyperbola with Transverse axis vertical

Answer 9

y = k +- (a/b)(x-h)