f(x) = |4x|-6; reflection in the y-axis (across the y-axis). Just write it out as a function.

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03-11-2022
Mathematics

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f(x) = |4x|-6; reflection in the y-axis (across the y-axis). Just write it out as a function.

Sagot :

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DaineK56915 DaineK56915 · Answer 1 · 2022-11-03T19:38:44-04:00

In order to solve this exercise, you need to remember the following Transformation Rules for Functions:

1. When:

[tex]-f(x)[/tex]

The function is reflected across the x-axis.

2. When:

[tex]f(-x)[/tex]

The function is reflected across the y-axis.

In this case, you have this function:

[tex]f\mleft(x\mright)=|4x|-6[/tex]

If this function is reflected across the y-axis, you can apply the second Transformation Rule for Functions explained before. Then, you get that the answer is:

[tex]f(x)=|-4x|-6[/tex]

Sagot :

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