Question

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?

Answer 1

Whenever a function is reflected over the x-axis, we can replace y with -y. This is true for any function.

Let's do this to the function $y=x^{2}$.

$y=x^{2}\\-y=x^{2}\\y=-x^{2}$

This is the equation of the transformed graph.

ANSWER: $y=-x^{2}$

Answer 2

A refelction over x axis mean times -1 the whole function

so
the transformed graph is y=-x²