Move a parabola to the right

You move a parabola to the right by subtracting from x. For example, y=(x-4)^2 moves the vertex of the parabola from the origin (0,0) to (4,0). One way to understand it is the vertex will be at the point for which the term that is squared is 0. 4-4=0. What would you need to do to move the parabola to the left? for example to have its vertex at (-3,0)? You need to add: y=(x+3)^2