Which zero pair could be added to the function f(x)=x2 +12x+6 so that the function can be written in vertex form

The most general proccedure for this type of problems is the following:

For a quadratic function of the following form ; where b and c are real numbers.

1) Identify the value that accompanies the x, that is, the value "b"

2) Divide the value of b by 2 and then square it:

3) Add and subtract in the function the value of  

4) Write the complete function of the form

For the function presented the result is as follows:

1) The value of b is 12

2)

3)

4)

Finally the function is:

The zero pair that must be added is 36 and -36

that there are 12 data points

step-by-step explanation:

a. is correct