Given data
The given function of the graph is
[tex]f(x)=x^2[/tex]The another function of the graph is
[tex]g(x)=x^2+4[/tex]The graph is translated as
[tex]g(x)=f(x)+k[/tex]Substitute the value in the above expression as
[tex]g(x)=x^2+4[/tex]So, the graph is shifted 4 units up.