Question 1032373
The only realistic comparison is they are both functions.  The rest of how they relate is not very comparable.  y=x is same as y=1*x, and the coefficient gives information about how y changes with x.  y=a(x-h)^2+k uses the factor a to give some indication of how y changes with x.


Note that y=x has no vertex, or no special point like that.  You could say, y=1(x-h)+k has a point  (0,0) and gives the simplified equation y=x.