What is the vertex of the function f(x) = x2 + 12x?

(–6, –36)
(–6, 0)
(6, 0)
(6, –36)

Consider the function

You can rewrite it as

When x=-6,  

The vertex is (-6.-36).

correct choice is A.

(–6, –36)

Step-by-step explanation:

We know that to convert a quadratic form to vertex form where (h,k) is the vertex , we use the method of completing the square.

Given function=

Which can be written as :

, adding and subtracting square of 6, we get

On comparing with the standard vertex form we get,

Vertex =(–6, –36)

europa2433

europa2433

step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get