Which zero pair could be added to the function fon) = x2 + 12x + 6 so that the function can be written in vertex form? 03.-30 6.603-3o 36,-36

ANSWER

36,-36

EXPLANATION

The given function is:

To write this function in vertex form;

We need to add and subtract the square of half the coefficient of x.

The coefficient of x is 12.

Half of it is 6.

The square of 6 is 36.

Therefore we add and subtract 36.

Hence the zero pair is:

36, -36.

The correct answer is D.

Last option: 36,-36

Step-by-step explanation:

The vertex form of the function of a parabola is:

Where (h,k) is the vertex.

To write the given function in vertex form, we need to Complete the square.

Given the Standard form:

We need to add and subtract on one side in order to complete the square.

Then, given , we know that:

Then, completing the square, we get:

(Vertex form)

Therefore, the answer is: 36,-36

addition

step-by-step explanation:

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