A vertex is the highest or lowest point in a parabola.
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Locus
vertex or minimum point or maximum point
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
maximum point :)
A parabola is NOT a point, it is the whole curve.
The highest or lowest point of the parabola, it is the point that is closest to the focus. The extreme point lies on the axis of symmetry
A vertex is the highest or lowest point in a parabola.
The extreme point it the highest or lowest point of the parabola (depending if it is concave downwards or upwards). It is the point of the parabola tat is closest to the focus. the extreme point lies on the axis of symmetry.
Parallel to the y-axis, going through the highest/lowest point of the parabola (if the parabola is negative/positive, respectively).
The extreme point is called a vertex.
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
The vertex is the highest or lowest point on a graph.
highest point:14928 feet lowest point:-410 feet
The highest point is Mt. Hood, and the lowest point is Crater Lake.
The highest point in the world is mt.Everest and the lowest point in the world is somewhere in Antarctica
The highest point in Bulgaria is Musala. The lowest point is in the Black Sea.