Question 917651
Same shape and size, different positions.


y=x^2+3 is moved upward three units from standard reference y=x^2.
y=(x+3)^2 is moved three units leftward from x^2.



The model standard y=x^2 is the parabola in {{{red(red)}}}:
{{{graph(300,300,-8,8,-8,8,x^2,x^2+3,(x+3)^2)}}}