![h(x) = 2^{-x}](/tpl/images/0487/0283/b969e.png)
Step-by-step explanation:
Here the given function is,
![f(x) = 2^x](/tpl/images/0487/0283/c365b.png)
Let (x,y) are the coordinates of the above exponential function,
By the rule of reflection about x-axis,
![(x,y)\rightarrow (-x,-y)](/tpl/images/0487/0283/2a226.png)
Thus, in the transformed figure that is obtained after the reflection about x-axis,
x is replaced by -x and y is replaced by -y,
Let h(x) = - f(x)
Hence, the transformed figure is,
![h(x) = 2^{-x}](/tpl/images/0487/0283/b969e.png)
⇒ Last Option is correct.