Conic Sections

Question 1

What is the equation of an ellipse?

Answer 1

x²/a² + y²/b² = 1

Question 2

What is the equation of a hyperbola?

Answer 2

x²/a² - y²/b² = 1
OR
xy=c²

Question 3

What is the equation of a parabola?

Answer 3

y²=4ax

Question 4

How do you reflect a conic graph in the x axis?

Answer 4

(x, y) → (x, -y)

Question 5

How do you reflect a conic graph in the y axis?

Answer 5

(x, y) → (-x, y)

Question 6

How do you reflect a conic graph in the line y=x?

Answer 6

(x, y) → (y, x)

Question 7

How do you rotate a conic section 180?

Answer 7

(x, y) → (-x, -y)

Question 8

How do you rotate a conic section 90 anticlockwise?

Answer 8

(x, y) → (y, -x)

Question 9

How do you rotate a conic section 90 clockwise?

Answer 9

(x, y) → (-y, x)

Question 10

How do you enlarge a conic section with scale factor c and centre at origin?

Answer 10

(x, y) → (x/c, y/c)

Question 11

How do you stretch a conic section by sf a parallel to x axis and sf b parallel to y axis?

Answer 11

(x, y) → (x/a, y/b)

Question 12

How do you reflect a conic graph in the line y=x?

Answer 12

(x, y) → (y, x)

Question 13

How do you translate a conic graph by vector (p q)

Answer 13

(x, y) → (x-p, y-q)