Complete the table of inputs and outputs for the function

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

Ineed if you could explain and give me the answer you! this needs done

Y= a(x-3)squared-1 what is the value of a