Question

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

Answer 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