Check out the possible answer choices, one by one. Starting with the first one, f(x) = (x+2)^2, subst. x and y from each given point.
Example: (0,4): when x = 0, y = 4. Is f(x) = (x+2)^2 true when we let x = 0 and y = 4? Is f(0) = 4 = (0+2)^2 true? Is 4 = 2^2 true? YES.
Thus, the correct answer choice is f(x) = (x+2)^2. No need to go through the other three possible answer choices, assuming that only one of these choices can be the correct one.
