The transformation of the function f(x) = 2(1/2)^x-7 can be described as follows:
- Stretch by 2: The function is multiplied by a factor of 2, which stretches it vertically.
- Down 7: The function is shifted downward by 7 units.
- Shrink by 1/2: The function is multiplied by a factor of 1/2, which shrinks it vertically.
- Up 7: The function is shifted upward by 7 units.
So, the full transformation is: stretch by 2, down 7, shrink by 1/2, up 7.