Hi,
As to remembering..it might help to remember WHAT a particular form easily tell us:
Hope this helps.
For ex:
y = x^2 - 6x +8 this tells us the y-intercept when x = 0 is (0,8)
factored: y = (x-4)(x-2) esily gives us the zeros of the functions (when y = 0)
0 = (x-4)(x-2) says x= 4 and x =2 are the x-intercepts
vertex form: y = (x-3)^2 -9 + 8 OR y = 1·(x-3)^2 -1
says Vertex is (3,-1)& as 1>0, parabola opens Upward
We know the graph looks like this: