#### Answer

the graph of g(x) is obtained by shifting the graph of f(x) UP by three units

#### Work Step by Step

Build a table with three columns.
In the first column, place values for x: $-2,-1,0,1,2$ as instructed.
In the second column, calculate $f(-2),f(-1),f(0),f(1),f(2)$
Third column: calculate function values $g(-2),g(-1),g(0),g(1),g(2)$
Points that lie on the graph of f are (x, f(x)).
Plot the five points from the table and join.
(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.
(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 three units.