Using the manipulation of a, h, and k to determine impact on parent equation's graph

To get started, move a, h, and k around and see the impact these manipulations have on the graph.
Next, find where the equation of the graph is written in standard form. When you find it, make sure the others at your table see it.
Last, move a, h, and k until you have a graph with x-intercepts of (1,0) and (3,0), a y-intercept of (0,3) and a vertex of (2,-1).
What is the equation of the graph in vertex form? In standard form?