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6 5 parabolas

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6 5 parabolas

  1. 1. 6-5 Parabolas Objectives: 1. Graph parabolas. 2. Write equations of parabolas.
  2. 2. Properties of Parabolas  Every point on a parabola is equidistant from a point called the focus and a line called the directrix.  The directrix is perpendicular to the line of symmetry.  The vertex is halfway between the focus and directrix.
  3. 3. Parabolas can open vertically or horizontally. Equations only good for vertex at (0, 0).
  4. 4. Example 1: Find the focus and directrix of each parabola and tell which direction it opens.  
  5. 5. Example 2: Write an equation of the parabola with vertex (0, 0) and directrix x = 2 and sketch its graph.
  6. 6. You Try! Write an equation of the parabola with focus (0, 3) and directrix y = -3. Sketch its graph.
  7. 7. Example 3: Find the vertex, focus, and directrix, then sketch the graph. y = 2x2 – 8x + 3

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