The Parabola (Focus & Directrix)
  • 1. What is the focal length of x2 = 8y ?
A) 2
B) -2
C) 4
D) 8
  • 2. What are the co-ordinates of the vertex of the parabola x2 = 4(y - 3) ?
A) (0, 0)
B) (3,0)
C) (0,3)
D) (0,1)
  • 3. What are the co-ordinates of the focus of the parabola y2 = 12x ?
A) (3,0)
B) (0,0)
C) (3,4)
D) (0,3)
  • 4. What is the equation of the directrix of the parabola x2 = 20y ?
A) x = -5
B) y = -5
C) x = 5
D) y = 5
  • 5. What are the co-ordinates of the vertex of the parabola (x - 5)2 = 12(y + 6) ?
A) (-5, 6)
B) (-2, -6)
C) (5, -6)
D) (5, -3)
  • 6. What is the equation of the directrix of the parabola y2 = 4(x +2) ?
A) y = 1
B) x = -1
C) x = -3
D) y = -1
  • 7. What are the co-ordinates of the focus of the parabola x2 = -8(y -3) ?
A) (0, -3)
B) (0, 1)
C) (3, 1)
D) (0, 3)
  • 8. What is the equation of the directrix of the parabola (y - 2)2 = 32(x + 5) ?
A) y = 2
B) y = -10
C) x = -13
D) x = 3
  • 9. What is the equation of the axis of the parabola (x - 3)2 = -8(y + 3) ?
A) y = 3
B) y = -3
C) x = 3
D) x = -3
  • 10. What are the co-ordinates of the focus of the parabola (y + 1)2 = -12(x - 3) ?
A) (6, -1)
B) (0, -1)
C) (-4, 3)
D) (3, -4)
  • 11. What is the focal length of the parabola y2 = 32(x - 2)
A) 6
B) 4
C) 8
D) 2
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