Answer:
Shifting down.
Vertically compressed
Step-by-step explanation:
Given
Required
Determine the translation from f(x) to g(x)
The first translation from f(x) towards g(x) is:
This is derived by:
Where
Notice that, in the above, b (i.e. 7) was subtracted from f(x), this implies that the function shifted down
The next translation that resulted in g(x) is:
This is derived by:
By comparison:
Since the value of a is less than 1, then f'(x) is vertically compressed to give g(x).
Hence, the transformations that apply from f(x) to g(x) are: