The vertex of a parabola is (-1.5, - 12.5), and its y-intercept is (0, - 8)

The x-intercepts of the parabola are: (-2, 0), (-4, 0), (2, 0), (4, 0) and (-1, 0), (2, 0), (1, 0), (-2, 0)

Best to find the equation of the parabola first:

Its equation is y+12.5 = (x+1.5) ^2, or y = - 12.5 + (x+1.5) ^2

Check the first possible x-intercept: let x = - 2. Does y come out to 0?

y = - 12.5 + (-0.5) ^2 = - 12.5 + 0.25. This is not equal to 0, so (-2,0) is not an x-intercept of this parabola. Continue checking each possible x-intercept until you find the right one (or ones).