# What is the vertex of # y= (x+8)^2-2x-6#?

##### 1 Answer

Aug 18, 2017

See the solution below

#### Explanation:

Since the equation is quadratic, Its graph would be a parabola.

graph{x^2 + 14x + 58 [-42.17, 37.83, -15.52, 24.48]}

As you can see from the graph that the roots are complex for this quadratic equation.

The vertex can be found out by the following formula,

where,

Also

here,

Plugging in the values

Therefore the vertex is given by