Question

Which represents the reflection of f(x)= square root x over the x-axis?

Answer 1

The reflection of f(x)=sqrt(x) over x-axis will be represented by option a. This is because it is the reflection of the imaginary part of the function f(x)= sqrt(x). Hence the correct answer is a. 

Answer 2

Answer

The firs graph attached (picture 1)

Explanation

To reflect the function over the x-axis, you multiply the whole function by -1. So, is you want to reflect $f(x)$, you just need to multiply $f(x)$ by -1: $f(x)*-1=-f(x)$.

Since our function is $f(x)=\sqrt{x}$, we are going to multiply the whole function by -1 to the get the the graph of its reflection over the x-axis (picture 1)

Reflection of f(x) over the x-axis:

$-f(x)=\sqrt{x}$

$g(x)=-\sqrt{x}$