the graph of a quadratic function, $y = x^{2}$, is reflected over the x - axis. which of the following is…

the graph of a quadratic function, $y = x^{2}$, is reflected over the x - axis. which of the following is the equation of the transformed graph?\n$y=-x^{2}$\n$y = (-x)^{2}$\n$y=sqrt{-x}$\n$y = -sqrt{x}$

the graph of a quadratic function, $y = x^{2}$, is reflected over the x - axis. which of the following is the equation of the transformed graph?\n$y=-x^{2}$\n$y = (-x)^{2}$\n$y=sqrt{-x}$\n$y = -sqrt{x}$

Answer

Explanation:

Step1: Recall reflection rule

When a graph of $y = f(x)$ is reflected over the $x -$axis, the transformation is $y=-f(x)$.

Step2: Apply to given function

The original function is $y = x^{2}$. After reflection over the $x -$axis, we replace $y$ with $-y$. So $-y=x^{2}$, which gives $y=-x^{2}$.

Answer:

A. $y = -x^{2}$