Question 911199
g(x)=3e^(x+2) +2   Parenthesis absolutely Necessary!!
My recommendation:
1) Pattern it after parent function e^x(Green) and adjust as new functions states
{{{drawing(300,300,   -10,10,-10,10,  
 grid(1),
circle(0, 1,0.4),
circle(-2,5,0.4),

graph( 300, 300, -10,10,-10,10,0,e^x, 3e^(x+2) + 2))}}}
2) Use Graphing calculator or software to check Your work
there is FREE graph software at  https://www.padowan.dk/download/ 
Wish You the Best in your Studies.