Multiple choice general knowledge math & puzzles

A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the parabola is at

  1. (0,2)

  2. (0,1)

  3. (1,0)

  4. (2,0)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a parabola with focus at (0,0) and directrix x=2, every point on the parabola is equidistant from the focus and directrix. The vertex is the midpoint along the axis of symmetry (the x-axis, since focus and directrix are horizontal). Distance from focus to directrix is 2 units, so the vertex is at (1,0), exactly halfway between x=0 and x=2.

Keep practicing — related questions