# How do you find the vertex of a parabola #f(x)=x^2 +10x-11#?

##### 1 Answer

Mar 23, 2018

**Vertex of the parabola is at :**

#### Explanation:

**The Standard form for the quadratic equation is :**

**Given:**

where

Find the x-coordinate of the vertex using the formula

To find the y-coordinate value of the vertex, set

Simplify the right-hand side.

Hence,

**Vertex of the parabola is at :**

Also observe that, since the coefficient of **less than zero**, the **parabola opens down** and **the graph has a minimum at the vertex.**

Please refer to the image of the graph below: