Question

I need help with this and explained step by step

Answer 1

Given the parent function, f(x) and the transformed function g(x) below

`\begin{gathered} f(x)=x \\ g(x)=2x-3 \end{gathered}`

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

`\begin{gathered} Stretch\text{ 2 times in y direction} \\ Moved\text{ 3 units down} \end{gathered}`