For function f(x)=x2, vertex is the lowest point of this function, which its coordinate is (0, 0).

suppose f(x) goes through transformation as given below, answer each question.

1-what is the coordinate of the vertex for f(x)+2

2- what is the coordinate of of the vertex for f(x+3)

3- what is the coordinate of of the vertex for f(x+3)+2