I need help with this and explained step by step

Solution:
Given the parent function, f(x) and the transformed function g(x) below
[tex]\begin{gathered} f(x)=x \\ g(x)=2x-3 \end{gathered}[/tex]Using a graphing tool, the graph of f(x) and g(x) is shown below
From the graph above,
The graph of the parent function f(x) is stretched 2 times (twice) in y direction and moved 3 units down to give the function g(x).
Hence, the transformation of f(x) to g(x) is
[tex]\begin{gathered} Stretch\text{ 2 times in y direction} \\ Moved\text{ 3 units down} \end{gathered}[/tex]