• What do we know about parabolas?

Conic Slice

Algebraic DefinitionParabola: 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 ParabolaDirectrix: 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 #2Vertex=(0,0) Directrix: y=-2

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

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