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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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algebraic definition
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

slide5

Why do we have a focus point?

-Reflective property

slide7

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