Math- function transformations how to solve ?

Question

Describe a function g(x)g(x) in terms of f(x)f(x) if the graph of gg is obtained by:

1. Vertically stretching ff by a factor of 5.
2. Shifting the graph to the right 4 units.
3. Shifting the graph upward 7 units.

Write your answer using function notation. 

For example, your answer will look similar to g(x)=2f(x+3)+4g(x)=2f(x+3)+4 

The transformation of f(x)f(x) is?

Answer 1

g(x) = 5f(x-4)+7