For an unknown parent function f(x), write a function g(x) that is: vertically stretched by a factor of 2, shifted up 5 units, and shifted right 4 units. explain how your function accomplishes these transformations.

The given function is f(x) and we need to write the function g(x) after applying the given transformations.

When function is vertically stretched by a factor of 2 then it becomes 2 f(x)Now, f(x) shifted up by  5 units. Therefore we must add 5 to the function. Hence it becomes 2f(x) +5Now, f(x) shifted right by 4 units. Hence, we must subtract 4 to the x values. Thus, it becomes 2f(x-4) +5.

Therefore, the function g(x) is given by