Algebra › Section K · Conics › Topic K.2

Parabolas

Meet the parabola again - this time as a conic section, a curve carved from a cone, defined without any equation at all. And meet its sideways twin, the parabola that opens left and right and refuses to be a function.

In this topic

  • A parabola is a slice of a cone
  • Focus, directrix, vertex
  • Vertical parabolas, recalled
  • Horizontal parabolas: the sideways twin
  • Worked example: opening right
  • Worked example: opening left
  • Intercepts of a horizontal parabola
  • Common mistakes to avoid
  • Key takeaways

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