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Gnoma [55]
3 years ago
11

In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achi

eve the graph of g(x) = log(-2x-4) + 1.
Mathematics
1 answer:
EastWind [94]3 years ago
6 0

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:

f(x) = \log{x}

The first transformation is:

\log{x} \rightarrow \log{-x}

  • Which means that it was <u>reflected over the x-axis</u>.

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

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

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

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

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