We are given the functions
![y= x^{2}](https://tex.z-dn.net/?f=y%3D%20x%5E%7B2%7D%20)
and
![y= -x^{2}](https://tex.z-dn.net/?f=y%3D%20-x%5E%7B2%7D%20)
.
let's consider some pairs in the graph of both functions.
in
![y= x^{2}](https://tex.z-dn.net/?f=y%3D%20x%5E%7B2%7D%20)
we have (-2, 4), (2, 4), (3, 9), (-5, 25)
in
![y=- x^{2}](https://tex.z-dn.net/?f=y%3D-%20x%5E%7B2%7D%20)
we have (-2, -4), (2, -4), (3, -9), (-5, -25)
so for the same values of x, we have y's of equal value, but different sign.
This means that the functions are the reflections of each other with respect to the x-axis.
Answer: C <span>reflection over the x-axis</span>