Using the reflection concept, it is found that the function g is given by:
[tex]g(x) = |6x| - 2[/tex]
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- Reflecting a function f(x) over the y-axis is equivalent to finding a function g(x) defined by: [tex]g(x) = f(-x)[/tex]
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- In this question, the parent function is: [tex]f(x) = |6x| - 2[/tex]
Reflecting over the x-axis:
[tex]g(x) = f(-x)[/tex]
[tex]g(x) = |6(-x)| - 2[/tex]
[tex]g(x) = |-6x| - 2[/tex]
Modulus is an even function, thus [tex]|-6x| = |6x|[/tex], and:
[tex]g(x) = |6x| - 2[/tex]
For more on reflections over the y-axis, you can check https://brainly.com/question/17686579
