What is the vertex of an angle, the vertex of a parabola, and the vertex of an ellipse? How is the vertex in each case the same and how is it different?

Question

aravindg · Answer

Vertex of a Parabola. is the maximum or minimum value of the parabola.For an ellipse, vertices are the points at which an ellipse makes its sharpest turns.

here_to_help15 · Answer

The vertex of an angle and a parabola is the point at which the ray or line changes direction. 
For example: 
Imagine that the letter V is a graphical representation of an angle. 
The vertex is where the two lines meet at the bottom. If we are looking at ^ as a character, the vertex is at the top. 
The vertex in a parabola is the lowest/highest point, for example using the letter U as an example, the vertex is the lowest point. in a parabola (somewhat, barely) resembling the letter n, the vertex would be at the top. 
In ellipses, the vertexes are at the points where the curve is the sharpest. Using the number 0 as an example, the vertexes occur at the top and bottom. 
As for how they are the same and different, I leave that to you to answer. I've definitely given you enough information to find out :P