Put 0 for x in each possible choice and see which one gives you y = -5.
The appropriate choice is y = x² - 5
_____ Of course, you know the vertex form is y = a(x -h)² + k for vertex (h, k) and scale factor "a". Then for (h, k) = (0, -5), this is y = ax² -5 Only one choice matches that: y = x² -5. (for a=1)
The equation will have a parabola with a vertex at (0,-5) as the y intercept is - 5. Remember, quadratic equations can often be written in the form Where a is the coefficient of the quadratic, b is the coefficient of the multiple and C is the vertex/y-intercept.