- #1
barksdalemc
- 55
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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?
Rotating a function over the y-axis means to reflect the function across the y-axis, resulting in a mirror image of the original function. This is also known as a 180-degree rotation.
To rotate a function over the y-axis, you can multiply the function by -1 and switch the x and y values. This essentially flips the function across the y-axis, resulting in a rotation.
Multiplying a function by -1 will result in a reflection across the x-axis. This is because multiplying by a negative number will flip the function's y-values, resulting in a mirror image of the original graph.
Switching the x and y values of a function will result in a rotation of the graph. This is because the x-values will now become the y-values and vice versa, causing the graph to appear rotated.
Yes, it is possible to rotate a function over the y-axis without using the -1 and switch method. Another way to rotate a function is to use the rotation formula: (x', y') = (xcosθ - ysinθ, xsinθ + ycosθ), where θ is the angle of rotation. However, the -1 and switch method is a simpler and more straightforward approach.