Two Functions Same Axis of Symmetry Same Roots

No.14366505 ViewReplyOriginalReport
How come the second function shares the same roots and axis of symmetry after I factored out -1/5 from the first function, yet has a completely different graph other than where the roots meet? Of course, if I divide or multiple all the terms of a polynomial, the graph will be different, but why are the roots and the axis of symmetry preserved under polynomial multiplication and division by a constant?