Describe a sequence of transformations that transforms the graph of the parent function f into the graph of the function g.

f (x) = x

g (x) = - 3 (x-4) + 1

Step-by-step explanation:

Parent function f (x) = x

g (x) = - 3 (x-4) + 1

If any number added or subtracted with x then graph moves left or right

Here 4 is subtracted from x, so graph move 4 units to the right

If any number added or subtracted at the end then graph move up or down

Here 1 is added at the end, so graph move 1 unit up.

g (x) = - f (x), for negative sign the graph reflects across x axis

We have negative sign at first, so the graph reflects over x axis