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Published byBryan Gray Modified over 5 years ago

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What do we know about parabolas?

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Conic Slice

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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

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Why do we have a focus point? -Reflective property

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Vertex: (0,0)

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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

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

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

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

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

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