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.

Answer-

The statement, "the points of intersection are of equal distance from the y-axis" must be true.

Solution-

As shown in the attachments 1 and 2, it can be deducted that it doesn't matter whether the later parabola should open upward or downward, because in both the cases it will intersect the former parabola.

As shown in the attachment 3, the point of intersection lies on x-axis. But, in attachment 1 and 2, though they intersect each other, but the point of intersection doesn't lie on x-axis. Hence, it is not mandatory that the point of intersection should lie on x-axis.

However, the orientation of the later parabola is, the point of intersection is always located at equal distance from y-axis, because both the parabolas are symmetric to y-axis.

i believe the answer is letter c) 8

step-by-step explanation: