Question

5 select the correct answer. if the graph of $f(x)=3^{x}$ is reflected over the x - axis, what is the equation of the new graph? a. $g(x)=(\frac{1}{3})^{x}$ b. $g(x)=-(3)^{x}$ c. $g(x)=3^{-x}$ d. $g(x)=-(\frac{1}{3})^{x}$

Explanation:

Step1: Recall reflection rule

When a graph of $y = f(x)$ is reflected over the $x - axis$, the transformation is $y=-f(x)$.

Step2: Apply to given function

Given $f(x)=3^{x}$, then the new function $g(x)=-3^{x}$.

Answer:

B. $g(x)=-(3)^{x}$