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True or False:
Changing the position of the focus affects the directrix, altering the overall shape of the parabola.
True
False
If a parabola is vertically oriented, its directrix is a horizontal line.
The equation of a parabola with a horizontal axis of symmetry can be written in the form (x−h)2=4p(y−k)(x-h)^2=4p(y-k)(x−h)2=4p(y−k) ,
where (h, k) is the vertex and p is the focal width.
True or False?
The focus of a parabola is a point, while the directrix is a line.
The focus of a parabola is always located inside the parabolic curve.
The distance from any point on a parabola to the focus is equal to the distance from that point to the directrix.
The distance between the focus and the directrix is known as the focal width and remains constant for a given parabola.
The directrix of a parabola is a tangent line to the parabolic curve.
The focus of a parabola is always located on its axis of symmetry.
It is done.