How does the graph of g(x)=x+3 compare with the graph of the parent function f(x)=x?

Answer 1

The graph of g(x)=x+3 is simply a translation of the parent function f(x)=x. Specifically, it is a vertical shift of the graph of f(x) upwards by 3 units. The graph of g(x)=x+3 will have the same shape as the graph of f(x)=x, but all the points on g(x) will be 3 units higher than the corresponding points on f(x).