When graphed, which function would be shifted 2 units up from the graph of f (x) = x^2+1

A vertical translation is given by:
[tex]\begin{gathered} y=f(x)+k \\ k\in\R \end{gathered}[/tex]so:
[tex]f(x)=x^2+1[/tex]In this case, k = 2, so:
[tex]\begin{gathered} y=f(x)+2 \\ y=x^2+1+2 \\ y=x^2+3 \end{gathered}[/tex]