The vertex of a parabola that opens downward is at open paren 0 comma 4 close paren The vertex of a second parabola is at open paren 0 comma negative 4 close paren If the parabolas intersect at two points, which statement must be true?

Both parabolas have their vertices on the y-axis, so each is symmetric about the y-axis. If a point where they intersect is to the right of the y-axis, its reflection across the y-axis is also on both parabolas, giving a second intersection the same distance to the left. Thus the intersection points are of equal distance from the y-axis; they do not have to lie on the x-axis.

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