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)+5.

Answer 1

Transforming $f(x) = log(x)$ to $f(x) = log (2x)$ gives the effect of squashing the graph horizontally (by halving the x-coordinate)

Then from $f(x) = log(2x)$ to $f(x) = log (-2x)$ is reflecting on the y-axis

Then from $log(-2x)$ to $log(-2x-4)$ is to translate by 4 units to the right

Finally from $log(-2x-4)$ to $log(-2x-4)+5$ is translating the graph up by 5 units