how do you reflect a function across the x-axis (flip it up side down)?

Answer 1

To reflect a function across the x-axis, you need to flip it upside down. This can be done by negating the y-coordinate of each point on the graph of the function. In other words, if the original function is f(x), the reflected function g(x) will be g(x) = -f(x).

For example, if the original function is f(x) = x^2, the reflected function across the x-axis would be g(x) = -x^2. This will result in a mirror image of the original function reflected across the x-axis.