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Understand The Relationship Between The Focus And Directrix Of A Parabola

True or False?

The focus of a parabola is a point, while the directrix is a line.


True or False:

The focus of a parabola is always located on its axis of symmetry.


True or False:

If a parabola is vertically oriented, its directrix is a horizontal line.


True or False:

The focus of a parabola is always located inside the parabolic curve.


True or False:

The equation of a parabola with a horizontal axis of symmetry can be written in the form (xh)2=4p(yk)(x-h)^2=4p(y-k) ,

where (h, k) is the vertex and p is the focal width.

True or False:

The distance between the focus and the directrix is known as the focal width and remains constant for a given parabola.

True or False:

The distance from any point on a parabola to the focus is equal to the distance from that point to the directrix.


True or False:

Changing the position of the focus affects the directrix, altering the overall shape of the parabola.


True or False:

The focus of a parabola is always located inside the parabolic curve.


True or False:

The directrix of a parabola is a tangent line to the parabolic curve.