Question

What is the transformation of f(x) = 2(1/2)^x-7

stretch by 2
down 7
shrink by 1/2
down 7
stretch by 2
up 7
shrink by 1/2
up 7

Answer 1

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.