What single transformation of f(x) will result in the graph of g(x)?

Question

f(x)=4^x  while g(x)=3(4)^(x-2)

Answer 1

Hello, thank you for taking the time to post your question!

The way that the functions are defined here, g(x) can be thought of as being 3/16 * (4)^x.

What that means is that the single transformation that makes this possible is multiplying f(x) by a vertical stretch factor of 3/16.

Feel free to reach out if you have any questions beyond that on the simplification :)