Answer
the graph of g(x) is obtained by
shifting the graph of f(x) UP by 2 units.
Work Step by Step
Build a table with three columns.
In the first column, place values for x: $0,1,4,9$ as instructed.
In the second column, calculate $f(0),f(1),f(4),f(9)$
Third column: calculate $g(0),g(1),g(4),g(9)$
Points that lie on the graph of f are (x, f(x)).
Plot the five points from the table and join with a smooth curve.
(on the image : red)
Points that lie on the graph of g are (x, g(x)).
Plot the five points from the table and join with a smooth curve.
(on the image : blue)
Looking at the blue graph (of g(x)) we see that
the graph of g(x) is obtained by
shifting the graph of f(x) UP by 2 units.