Question

Describe the transformation that takes f (x) = x+1 to g (x)=-x+4

Answer 1

Happy New Year from MrBillDoesMath!

Answer:

    g(x) = f(x) + 3

Discussion:

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

Thank you,

MrB

Answer 2

Answer:

The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4