Question

The graph of g(x) is a transformation of the graph of f(x)=3x 

Enter the equation for 

g(x)  in the box.

Answer 1

srry im late but i took the test :))

Answer 2

The given graph is : f(x) =
`3^x`

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=
`3^(x+2)`

g(x) = y =
`3^(x+2) +1` is the graph of translated curve.

The two graph is depicted below.