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)

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

none cuz there are no "following statements" regarding the question

step-by-step explanation: