# Vertex of a Parabola

The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.

### Properties of the Vertex of a Parabola

• is the maximum or minimum value of the parabola (see picture below)
• is the turning point of the parabola
• the axis of symmetry intersects the vertex (see picture below)

#### How to find the vertex

Depends on whether the equation is in vertex or standard form

#### Finding Vertex from Standard Form

The x-coordinate of the vertex can be found by the formula $$\frac{-b}{2a}$$, and to get the y value of the vertex, just substitute $$\frac{-b}{2a}$$, into the

#### Finding Vertex from Vertex Form

It's called 'vertex form' for a reason!
The vertex is just (h,k) from the equation.

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