# How do you find the vertex and x intercept of #f(x)=x^2+11x+30#?

##### 1 Answer

Aug 3, 2016

Vertex

x-intercepts: -5 and -6

#### Explanation:

x-coordinate of vertex:

y-coordinate of vertex:

Vertex

To find the 2 x-intercepts, solve the quadratic equation f(x) = 0.

Find 2 real roots, knowing sum (-b = -11) and product (c = 30).

The 2 x-intercepts are: - 5 and -6 -> sum (- 11 = -b) --> product (30).