To solve the problem we must know about the equation of a parabola.
[tex]y = a(x-h)^2 + k[/tex]
where,
(h, k) are the coordinates of the vertex of the parabola in form (x, y);
a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.
The function that represents the reflection over the x-axis of
f(x)=√x is g(x) = -√x.
Given to us
Given function is the function of a parabola such that it is the half arc of the parabola, the reflection of this function drawn over the x-axis will be the other half of the parabola. therefore, it will be equal to g(x) = -√x.
To check that we will plot both the functions f(x) and g(x) on the graph.
Hence, the function that represents the reflection over the x-axis of f(x) = √x is g(x) = -√x.
Learn more about Parabola:
https://brainly.com/question/8495268
