Quadratics when you know x-intercepts

Find the quadratics that have (2,0) and (6,0) has x-intercepts. 1) Plot the x-intercepts. 2) Construct the perpendicular bisector of the segment that connects the two x-intercepts. 3) Use the command "fitpoly({list of points},degree of polynomial) to create the function. We want to use a slider for the y-coordinate of the vertex.

A quadratic goes through the given point. Find the equation of a polynomial that goes through that point.