Difference between revisions of "Vertex"
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| − | + | * [[Vertex (curve)]] - The '''vertex''' of a [[parabola]] is the [[midpoint]] of the [[line segment]] joining the [[focus]] of the parabola to the [[directrix]] that is perpendicular to the directrix. This line is the line of symmetry of the parabola. If the parabola lies in a [[Cartesian coordinate system]] as the [[graph of a function | graph]] of the equation <math>y = ax^2 + bx + c</math> then this line is vertical and the vertex is the point at which the <math>y</math>-value of the graph is minimal (if <math>a > 0</math>) or maximal (if <math>a < 0</math>). | |
| − | + | * [[Vertex (geometry)]] | |
| − | + | * [[Vertex (graph theory)]] | |
| − | + | * Note that [[vertices]] is the plural form of vertex. | |
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Latest revision as of 19:11, 24 February 2025
- Vertex (curve) - The vertex of a parabola is the midpoint of the line segment joining the focus of the parabola to the directrix that is perpendicular to the directrix. This line is the line of symmetry of the parabola. If the parabola lies in a Cartesian coordinate system as the graph of the equation
then this line is vertical and the vertex is the point at which the 
-value of the graph is minimal (if 
) or maximal (if 
). - Vertex (geometry)
- Vertex (graph theory)
- Note that vertices is the plural form of vertex.
then this line is vertical and the vertex is the point at which the 
-value of the graph is minimal (if 
) or maximal (if 
).This is a disambiguation page. The title you requested could refer to one of the articles listed on this page.
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