Hey there,
Your question is stating: The distance from a focus to a vertex on the graph of a parabola is not the same as the distance from vertex to a perpendicular point on the directrix.
True or false?
This would be a [tex]TRUE[/tex] statement. The distance from a focus to a vertex on the graph of a parabola is not the same as the distance from vertex to a perpendicular point on the directrix would be [tex]TRUE[/tex].
Hope this helps.
~Jurgen