Question

the graph was created by reflecting the graph of the graph of the basic function y = √x about the y - axis. write a function that describes the given graph. the function that describes the graph is g(x)= (simplify your answer.)

Explanation:

Step1: Recall reflection rule

When reflecting a function $y = f(x)$ about the $y$-axis, we replace $x$ with $-x$.

Step2: Apply rule to given function

The original function is $y=\sqrt{x}$. After reflection about the $y$-axis, we get $g(x)=\sqrt{-x}$.

Answer:

$\sqrt{-x}$