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

(–6, –36)

(–6, 0)

(6, 0)

(6, –36)

Option A is correct

(–6, –36)

Step-by-step explanation:

A quadratic equation is in the form of  ,....[1] then the axis of symmetry is given by:

Vertex of the function is given by:

As per the statement:

Given the function:

          ....[2]

Compare this with equation [1] we have;

a = 1 and b = 12

then;

⇒

⇒x = -6

Substitute the value of x in [2] we have;

⇒f(-6) = -36

⇒Vertex = (-6, -36)

Therefore, the vertex of the function f(x) is, (–6, –36)

is there a picture

step-by-step explanation: