Horizontal stretch by a factor means that the points on the graph transformed by multiplying the point by that factor.The function would be produced by a horizontal stretch is,
[tex]y=\sqrt{-\dfrac{1}{2} x}[/tex]
Thus the option C is the correct option.
Given information-
The given function in the problem is,
[tex]y=\sqrt{x}[/tex]
What is horizontal stretch?
Horizontal stretch by a factor means that the points on the graph transformed by multiplying the point by that factor.
When a point [tex](x,y)[/tex] is horizontal stretched by factor [tex]a[/tex] for x axis, then the new point will be [tex](ax,y)[/tex].
The given function is,
[tex]y=\sqrt{x}[/tex]
As the point are horizontal stretched, thus the option which can be true is,
[tex]y=\sqrt{\dfrac{1}{2} x}[/tex]
Here factor of horizontal stretch is 1/2.
Transform the function as,
[tex]y=\sqrt{-\dfrac{1}{2} x}[/tex]
Hence the function would be produced by a horizontal stretch is,
[tex]y=\sqrt{-\dfrac{1}{2} x}[/tex]
Thus the option C is the correct option.
Learn more about the horizontal stretch here;
https://brainly.com/question/25753477
