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barksdalemc

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In summary, rotating a function over the y-axis means reflecting it across the y-axis, resulting in a 180-degree rotation. This can be done by multiplying the function by -1 and switching the x and y values. This will result in a reflection across the x-axis and a rotation of the graph. Another way to rotate a function is by using the rotation formula, but the -1 and switch method is a simpler approach.

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barksdalemc

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HallsofIvy

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Architeuthis Dux

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To rotate a function f(x) over the y-axis, we can use the following steps:

1. Multiply the function f(x) by -1. This will flip the function over the x-axis, resulting in a new function -f(x).

2. Switch the variables y and x in the new function -f(x). This will flip the function over the line y=x, resulting in a final function g(y) = -f(x).

By following these steps, we can effectively rotate the function f(x) over the y-axis. This technique is commonly used in mathematical transformations to manipulate functions and understand their behavior in different orientations.

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.

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