So, I have been working on my stuff online, and I come to the question in the provided attachment. Now, I searched for the answer to this and found that the answer was C for this question. It wasn't explained how it was done. Can someone explain how to find the function with a given vertex from this example, please?

(This is a high school question, not a middle school one; this is the first question that I asked, and I don't know how this works.)

don't report but were is the digram

step-by-step explanation:

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

what is the rest of the question? ?