Function Transformations
Describe a function g(x)\displaystyle {g{{\left({x}\right)}}} in terms of f(x)\displaystyle {f{{\left({x}\right)}}} if the graph of g\displaystyle {g} is obtained by:
  1. Vertically stretching f\displaystyle {f} by a factor of 2.
  2. Shifting the graph to the right 7 units.
  3. Shifting the graph upward 8 units.

Write your answer using function notation.

For example, your answer will look similar to g(x)=2f(x+3)+4\displaystyle {g{{\left({x}\right)}}}={2}{f{{\left({x}+{3}\right)}}}+{4} 

The transformation of f(x)\displaystyle {f{{\left({x}\right)}}} is:  

Note: Remember to write the entire equation.