Question

graph y=logx+2

Answer 1

look at y=log x
and compare with your logx+2
remember log 0 = 1
also remember the shape of logx

Answer 2

Another thing I whether it is log(x + 2) or log(x) + 2 as they are very different.

Answer 3

* log 1=0, and log 0 -> -inf. (for any base)

Answer 4

What is shown is log(x) + 2, which is what @zpupster graphed.
If parentheses are missing, and expression is meant to be log(x+2), then it would be the graph of log(x) translated to the left by two units instead of up.