The ellipse, hyperbola and parabola

Question 1

What is the equation of an ellipse

Answer 1

X^2 ÷ a^2 + y^2 ÷ b^2 = 1

Question 2

What are the intercept of an ellipse with the equation in its proper form

Answer 2

(+-a, 0), (0, +-b)

Question 3

What is the equation of a hyperbola

Answer 3

X^2 ÷ A^2 - Y^2 ÷ B^2 = 1

Question 4

Properties of a hyperbola

Answer 4

Symmetrical at x and y axis
X intercept when y=0 (+-a, 0)

Question 5

What are the asymototes of a hyperbola in it’s proper form

Answer 5

Y= +- b/a

Question 6

Special case of a hyperbola

Answer 6

Xy = c^2
Verticies (C, C) and (-c, C)
Coordinate axis as asymptotes

Question 7

What are the parabola equations

Answer 7

Y = kx^2
Y^2 =4ax for a horizontal shape

Question 8

How f do u calculate where it crosses

Answer 8

Discrininant

Question 9

Transformations by vector p, q

Answer 9

(x-p) (y-q)