Question

if you flip the graph of the exponential function f(x)=2x over the x axis what is the equation of the new function

Answer 1

The answer is B. g(x) = -2^x

Answer 2

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`

Explanation:

We are given a graph of the exponential function f(x) which is represented by:

`f(x)=2^x`

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`