Question

Given the parent function f(x) = 2x, which graph shows f(x) + 1?

Answer 1

If the graph shows the original function f(x) = 2x then f(x) + 1 would just be the function (line) moved up one. Assuming this is about graphs.

Answer 2

Given a function f(x); the graph of a function f(x)+a is a translation of a graph 'a' units downwards or upwards depending whether this 'a' is negative or positive.

if a>0 then the translation is a units upwards.

if a<0 then the translation is a units downwards.

Here we have to find the graph of a function f(x)+1 for a given function f(x)=2 x.

so a graph of 2 x+1 is a shifting of a graph f(x)=2 x+1 '1' units upwards.