Remember that an x-intercept has a y-value of 0, so the question here really “Which of the following equations has (0,4) AND (0,-4) as solutions.”
The first two each work with one of the points, but not the other, so they’re not the answer.
The last one doesn’t work for either point.
The third one, y+16=x^2, works for both.
0 + 16 = (4)^2 is true.
0 + 16 = (-4)^2 is true.
