is it possible for 2 different quadratic functions to have the same axis of symmetry but different vertex points?

Yes, an equation can be translated up or down but have the same axis of symmetry. This is because axis of symmetry only depends on the x coordinate so the vertices of different equations can be moved anywhere along the y axis but as long as the x coordinate of the vertex is the same they have the same axis of symmetry

hope it is correct if not i'm srry i tried to