 # 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,

## Presentation on theme: "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,"— Presentation transcript:

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. Focus: A given point inside the Parabola Directrix: A line perpendicular to the axis of symmetry

Why do we have a focus point? -Reflective property

Vertex: (0,0)

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

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

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

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

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

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