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In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1.

Respuesta :

Using translation concepts, it is found that the parent function was:

  • Reflected over the x-axis.
  • Horizontally compressed by a factor of 2.
  • Shifted right 4 units.
  • Shifted up 1 unit.

The parent function is:

[tex]f(x) = \log{x}[/tex]

The first transformation is:

[tex]\log{x} \rightarrow \log{-x}[/tex]

  • Which means that it was reflected over the x-axis.

Then, [tex]\log{-x} \rightarrow \log{-2x}[/tex], which means that it was horizontally compressed by a factor of 2.

Then, [tex]\log{-2x} \rightarrow \log{-2x - 4}[/tex], which means that it was shifted right 4 units.

Finally, 1 was added to the function, which means that it was shifted up 1 unit.

To learn more about translation concepts, you can take a look at https://brainly.com/question/4521517

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