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Conic
Sections




       By
  Ben Clayton
A Conicare four types of
        Section is when a
There Parabola
     plane and a cone
      Conic Sections
        intersect.
 This is When The plane
is perpendicular to the
  Long edge of the cone
Parabola
The a graph this is what
 On shape you would see is
       shown below
      you would see.
The Maths part of
      Parabola

      Equation: Y=X²
Translation in the x and y
        Direction:
        Y=(X – a)² + B

A Being The X translation with
       the opposite sign


B Being The y Translation with
         the same sign.
Circles

Equation: (x-a) ² + (y-b) ² = r²
 A is the x Coordinate of the
centre with the opposite sign
 B is the Y Coordinate of the
centre with the opposite sign

 R is the Radius of the circle
                       R
             (A,B)
Hyperbole
                x   y


Equation:



        a
            b
Ellipses
      Equation:

A and B are exactly the same as the
Circle and hyperbola (See Handout)
Bye

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Ben c conic sections

  • 1. Conic Sections By Ben Clayton
  • 2. A Conicare four types of Section is when a There Parabola plane and a cone Conic Sections intersect. This is When The plane is perpendicular to the Long edge of the cone
  • 3. Parabola The a graph this is what On shape you would see is shown below you would see.
  • 4. The Maths part of Parabola Equation: Y=X² Translation in the x and y Direction: Y=(X – a)² + B A Being The X translation with the opposite sign B Being The y Translation with the same sign.
  • 5. Circles Equation: (x-a) ² + (y-b) ² = r² A is the x Coordinate of the centre with the opposite sign B is the Y Coordinate of the centre with the opposite sign R is the Radius of the circle R (A,B)
  • 6. Hyperbole x y Equation: a b
  • 7. Ellipses Equation: A and B are exactly the same as the Circle and hyperbola (See Handout)
  • 8. Bye