Asap! i'll give brainliest! the graph of g(x) is a transformation of the graph of f(x)=3^x. what is the equation for g(x)?

We have been given a graph of function g(x) which is a transformation of the function

Now we have to find the equation of g(x)

Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.

First you should check the graph of

You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.

Now the given graph has asymptote at x=-2

which is just 2 unit down from the original asymptote x=0

so that means we need shift f(x), 2 unit down hence we get:

but that will disturb the y-intercept (0,1)

if we multiply by 3 again then the y-intercept will remain (0,1)

Hence final equation for g(x) will be: