torindouglas28 torindouglas28
  • 02-04-2024
  • Mathematics
contestada

The function f(x) = 4x – 8 is reflected across the y-axis, resulting in a new function, g(x). Write the equation of g(x).

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Intriguing456
Intriguing456 Intriguing456
  • 02-04-2024

Answer:

[tex]g(x)=-4x-8[/tex]

Step-by-step explanation:

Reflecting a function across the y-axis effectively swaps the positive and negative x-coordinates. This means that we can replace:

  • [tex]x[/tex] with [tex](-x)[/tex]

to get a function's reflection over the y-axis:

[tex]f(x) =4x-8[/tex]

↓↓↓

[tex]g(x)=4(-x)-8[/tex]

[tex]g(x)=-4x-8[/tex]

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