Engineering Board Exam Reviewer · Parabolas · easy

Find the focus of the parabola y2=8x.

  1. (2,0)
  2. (4,0)
  3. (0,2)
  4. (-2,0)

Answer

A. (2,0)

Solution

y2=4px with 4p=8, so p=2 and the focus is (2,0).

More Parabolas questions

  1. Find the equation of the parabola with a vertical axis that passes through (0,0), (2,0) and (-1,3).
  2. Find the area bounded by the parabola y2=4x and its latus rectum.
  3. A parabolic reflector has a rim diameter of 20 cm and is 5 cm deep. How far from the vertex is the focus, in cm?
  4. Find the equation of the tangent line to the parabola y2=8x at the point (2,4).
  5. A point on the parabola y2=12x has an abscissa of 6. Find its distance from the vertex.
  6. Find the equation of the parabola with focus (2,3) and directrix x=-2.
  7. The point (4,4) lies on the parabola y2=4x. Find its distance from the focus.
  8. A parabola has its vertex at the origin, opens to the right, and passes through (2,4). Find the length of its latus rectum.
  9. Find the focus of the parabola y2-6y-8x+1=0.
  10. Find the equation of the parabola with vertex (2,-1), a horizontal axis, and focus (5,-1).

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