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What do we know about parabolas?

What do we know about parabolas?. Conic Slice. Algebraic Definition. Parabola: For a given point, called the focus, and a given line not through the focus, called the directrix , a parabola is all of the points such that the distance to the focus equals the distance to the directrix .

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What do we know about parabolas?

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  1. What do we know about parabolas?

  2. Conic Slice

  3. Algebraic Definition Parabola: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is all of the points such that the distance to the focus equals the distance to the directrix. Focus: A given point inside the Parabola Directrix: A line perpendicular to the axis of symmetry

  4. Why do we have a focus point? -Reflective property

  5. Vertex: (0,0)

  6. What happens if the vertex is at the origin and the focus is to the right of the origin? -How would that change the equation

  7. Example #1 Vertex=(0,0) Focus=(0,-2)

  8. Example #2Vertex=(0,0) Directrix: y=-2

  9. Example #3Vertex=(0,0) Focus=(3,0)

  10. Example #4Vertex=(0,0) Directrix: x=3

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