We are given parent function: 
We need to explain which graph would represent f(x) +1. function.
Please note: 1 is added to parent function f(x).
According to rule of transformations y= f(x)+K shifts K units up of parent function f(x).
For parent function f(x) =2^x, y-intercept is 1.
So, for f(x)+1 function y-intercept would be 2 because y-intercept 1 is being shifted 1 unit up, that is 2.
So, the shown graph would be correct graph for f(x)+1.