Answer:
The given graph is : f(x) = [tex]3^x[/tex]
The graph g(x) is transformation of graph f(x).
The curve g(x) passes through (-2,2) and (-1,4).
Let (a,b) be any point on f(x).After translation new curve g(x) is obtained which is parallel to line, y=1 or asymptode is ,y=1 or when y becomes 1 the graph becomes parallel to x axis.
g(x)= y-1=[tex]3^{x+2}[/tex]
g(x) = y = [tex]3^{x+2} +1[/tex] is the graph of translated curve.
The two graph is depicted below.
