The center of a circle is at the origin on a coordinate grid. the vertex of a parabola that opens upward is at (0, 9). if the circle intersects the parabola at the parabola’s vertex, which statement must be true?

I think you missed the "statements" to analyze.
However let me give you some direction, maybe it will help you

The parabola ( opening upward) intersect the circle at (0,9), that means that both parabola are tangent at (0,9) or at y=9 & the radius of the circle =9

Its axis of symmetry = y=9

Ithink it's b sorry if i'm wrong