Sec9.1 conics
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Sec9.1 conics

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Sec9.1 conics Sec9.1 conics Presentation Transcript

  • Sec. 9.1 Conics
    Objectives: To name the Conics.
  • Sec. 9.2 The Parabola
    Objectives: To find the equation to a parabola.
    : To graph parabolas.
    : To solve applied problems.
    Parabola
    The collection of all points P in the plane that are the same distance from a fixed point F and are from a fixed line D.
    Fis called the focus. D is called the directrix.
  • Parabola
  • The equation of a Parabola having a vertex @ (0, 0) and focus @ (a, 0) is
    Ex 1 Write and graph the equation whose vertex is (0, 0) and focus is (3, 0).
  • Ex 2 Graph the equation .
  • Ex 3 Write and graph the equation whose focus is (0, 4) and directrix is y= -4.
  • Ex 4 Find the equation of the parabola with vertex at (0, 0), that contains the point , and the x-axis is the axis of symmetry.
  • Vertex (h, k)
    Find the equation of the parabola with vertex at (-2, 3) and the focus at (0, 3).
  • Ex 4Write and graph the equation whose focus is (2, -3) and focus is (2, -5).
  • Reflecting Property
    A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located. If the dish is 8 feet across at its opening and is 3 feet deep at its center, at what position should the receiver be placed?