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Syllabus/Plane & Coordinate Geometry (ACT)
02ACT Math

Conic Sections & Parabolas

Conic Sections & Parabolas

Parabola

y = a(x - h)² + k → vertex (h,k), axis x = h
  • a > 0: opens up, a < 0: opens down
  • Focus and directrix rarely tested but good to know
  • Ellipse

    (x-h)²/a² + (y-k)²/b² = 1
  • Center (h,k), semi-axes a and b
  • Hyperbola

    (x-h)²/a² - (y-k)²/b² = 1

    ACT Tips

  • Know how to identify each conic from its equation
  • Completing the square to convert to standard form
  • The ACT focuses most on parabolas and circles
  • Conic Sections & Parabolas | ACT Math Prep