Analytic Geometry – Parabola

Kamis, 28 Mei 2020

Parabola

 

Focal parameter: p

Focus: F

Vertex: M(x₀, y₀)

Real number: A, B, C, D, E, F, p, a, b, c

 

• Equation of a Parabola (Standar Form)

    y² = 2px

 

Figure

 

   Equation of the directrix

     

  Coordinater of the focus

   

 Coordinater of the vertex

 M (0, 0)

 

• General Form

    Ax² + Bxy + Cy² + Dx + Ey + F = 0,

    where B² – 4AC = 0

 

• 

    Equation of the directrix

 

   Coordinater of the focus

     

   Coordinater of the vertex

   M (0, 0)

 

Figure

 

 

• General Form, Axis Parallel to the y-axis

    Ax² + Dx + Ey + F = 0 (A, E nonzero)

     

   Equation of the directrix

     

   Coordinater of the focus

    

  Coordinates of the vertex

    

 

Figure

 

 

 

Sumber

Labels: Mathematician

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