A2 12-5 Focus, Directrix & Parabola Transformations

Front

Back

x = 6

Front

Back

p = 5

Front

If a parabola has a focus at (0,-3) and a vertex at the origin, what is the equation of the directrix?

Back

y = 3

Front

Find the vertex of the parabola if the focus is at (2,4) and the directrix is at y=2.

Back

(2,3)

Front

If a parabola has a focus at (0,3) and a vertex at the origin, what is the equation of the directrix?

Back

y = -3

Front

Define a parabola.

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

What is the standard form of a parabola that opens upwards?

Back

Front

What does the parameter p represent in the context of a parabola?

Back

The distance from the vertex to the focus and from the vertex to the directrix.

Front

How do you find the focus of a parabola given its vertex and directrix?

Back

The focus is located p units away from the vertex in the direction perpendicular to the directrix.

Front

What is the relationship between the focus and directrix of a parabola?

Back

Any point on the parabola is equidistant from the focus and the directrix.