Rotate f(x) over y-axis: Multiply by -1 and Switch y,x

[barksdalemc]

Multiplying by -1 flips a function over the x-axis and switching y and x flips it over the y=x line. How would you do that to f(x) for the y axis?

 

[HallsofIvy]

I wouldn't say it that way: multiplying a function by -1 (or "replacing y by -y") flips the graph of the function over the x-axis. Switching x and y in the function flips the graph over the y= x line. Replacing x by -x flips the graph over the y-axis.