When you mention the profound aspects of a parabola, I understand that a parabola has a

Vertex
, Extremum 
Roots
, xintercept points 
Width
, This can be defined in two ways. Theglobal width
is the distance between the roots of the parabola, while thelocal width
for a given yvalue is the distance between the two points on the parabola that have that yvalue 
Height
, measured vertically from the xaxis to the ycoordinate of the vertex
But what do you mean by Position
? In the lecture, you pointed out the symmetry of the curve itself (since it is a parabola) & that it runs around the yaxis.
When I hear the term position
, I think of a location.
Could you kindly explain this in more detail?
Kind Regards,