Question

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

Answer 1

A vertical translation is given by:

`\begin{gathered} y=f(x)+k \\ k\in\R \end{gathered}`

so:

`f(x)=x^2+1`

In this case, k = 2, so:

`\begin{gathered} y=f(x)+2 \\ y=x^2+1+2 \\ y=x^2+3 \end{gathered}`