Question

Help with combinations of transformations of graphs? Write a formula for g in terms of f

Answer 1

`g(x) = 8f(6(x + 6)) + 2`

Explanation:

In

`y = af(b(x -c)) + d`

The vertical stretch is given by `a`, the horizontal stretch is given by `1/b`, the horizontal transformation is given by `c` and the vertical transformation is given by `d`.

Filling in our parameters, we get:

`g(x) = 8f(6(x + 6)) + 2`

Hopefully this helps!