Question

If a parent function is y=2x which is the function of the graph

Answer 1

if the line is on the positive side then your answer is "y=2^x+1 +2"

if the line is on the negative side your answer is "y=2^x-1 +2"

Positive  always goes with positive

Answer 2

Not seeing the graph, y = 2x goes through the origin with a slope of +2.