Question

WILL GIVE BRAINLIEST!! PLEASE HELP!!

Given the parent function of y=the square root of x, state the type of transformation that occured to get the function y=negative square root of x.

A.
vertical shrink
B.
vertical stretch
C.
reflection over the x-axis
D.
reflection over the y-axis

Answer 1

We are given the functions $y= x^{2}$ and $y= -x^{2}$.

let's consider some pairs in the graph of both functions.

 in $y= x^{2}$  we have (-2, 4), (2, 4), (3, 9), (-5, 25)

    in $y=- x^{2}$  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