Question

Identify the operation that will transform the graph of f(x)=2^x into the graph of g(x)=2-2^x.
1. G(x) is obtained by reflecting f(x) in the x axis then shifting upward 2 units.
2. G(x) is obtained by reflecting f(x) in the y-axis then shifting upward 2 units.
3. G(x) is obtained by reflecting f(x) in the x-axis then shifting downward 2 units.
4. G(x) is obtained by reflecting f(x) in the y-axis then shifting downward 2 units.
5. G(x) cannot be obtained by any of these transforms.

Answer 1

3. G(x) is obtained by reflecting f(x) in the x-axis then shifting downward 2 units.