Answer:
Option: B is the correct answer.
The equation of the new function g(x) on flipping the function f(x) over the x-axis is:
![g(x)=-2^x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Ex)
Step-by-step explanation:
We are given a graph of the exponential function f(x) which is represented by:
![f(x)=2^x](https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex)
We know that when a graph of a function is reflected or flipped over the x-axis then the the change that take place to the function is that f(x) is transformed to -f(x).
( Since on flipping the function over the x-axis the positive value of the function get changed to negative and the negative value of the function is changed to positive)
Hence, the equation for the new function is:
![g(x)=-f(x)\\\\g(x)=-2^x](https://tex.z-dn.net/?f=g%28x%29%3D-f%28x%29%5C%5C%5C%5Cg%28x%29%3D-2%5Ex)