Question

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.

Answer 1

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 reflected over the x-axis.

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, 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 brainly.com/question/4521517