The vertex of a parabola that opens downward is at (0, 4). the vertex of a second parabola is at (0, –4). if the parabolas intersect at two points, which statement must be true? a) the second parabola opens downward. b) the second parabola opens upward. c) the points of intersection are on the x-axis. d) the points of intersection are of equal distance from the y-axis.

The answer is the second option, the option B which is: B) The second parabola opens upward. 

The explanation is shown below: If the first parabola with vertex at (0,4) opens downward and the vertex of the second parabola is at (0, –4) and the parabolas intersect at two points, this means that the second parabola opens upward, because if it opened downward, it wouldn't exist intersection points. Therefore, the correct answer is the option B.