Q:

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?

Accepted Solution

A:
Many statements can be true about those parabolas, so you need to include the list of choices.

This is the list of answer choices that I found for this same question:

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.

While A, B or C may be or may not be true, D has to be true.

D. has to be true because the symetry axis of both parabolas is x = 0, so the intersection points will  be necesarily to the same distance of the x-axis and the y-axis.

Answer:
The points of intersection are of equal distance from the y-axis.