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

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To rotate a function f(x) over the y-axis, replace x with -x in the function. This transformation effectively flips the graph over the y-axis. Additionally, multiplying the function by -1 flips it over the x-axis, while switching x and y reflects it over the line y=x. Understanding these transformations is crucial for accurately manipulating graph orientations. Proper application of these principles allows for precise graphical representations of functions.
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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?
 
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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.
 

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