We are given the functions [tex]y= x^{2} [/tex] and [tex]y= -x^{2} [/tex].
let's consider some pairs in the graph of both functions.
in [tex]y= x^{2} [/tex] we have (-2, 4), (2, 4), (3, 9), (-5, 25)
in [tex]y=- x^{2} [/tex] 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 reflection over the x-axis
