Conic Sections

Question 1

What is the equation of a parabola

Answer 1

Y = Ax^2
X= AY^2

Question 2

What is the equation of a parabola with its vertex at the origin

Answer 2

Y^2 = kx

Question 3

What is the equation of an ellipse

Answer 3

X^2/a^2 + y^2/b^2

Question 4

What points to an ecllipse pass through

Answer 4

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

Question 5

What is the equation of a hyperbola

Answer 5

X^2/a^2 - y^2/b^2 = 1

Question 6

What are the asymptotes of a hyperbola

Answer 6

Y=+-b/a

Question 7

What is a rectangular hyperbola and state its asymptotes

Answer 7

Xy = c^2

Question 8

What is the equation of a parabola

Answer 8

Y^2 = a(x+b)

Question 9

An ellipse with the equation (x-x1)^2/ a^2 + (–y1)^2/b^2 will have

Answer 9

A centre at (x1,y1)
Radius of a in the x direction
Radius of b in the y

Question 10

A rectangular hyperbola with equation (x-x1)(y-y1) = c^2 will have

Answer 10

Centre at (x1,y1)
Asymptotes at x=x1 y=y1

Question 11

An hyperbola with the equation (x-x1)^2/ a^2 - (-y1)^2/b^2 will have

Answer 11

Centred at (x1,y1)
Have asymptotes at
Y-y1 = +-b/a(x-x1)

Question 12

By replacing x with x/k what happens

Answer 12

Stretch the curve by sf k in the x direction

Question 13

To reflect any conic section you need to

Answer 13

Reverse the roles of x and y in the equation

Question 14

To reflect in the line y = x-

Answer 14

Replace x with -y
Y with -x