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

f ( x ) = log ( x ) to f ( x ) = log ( 2x )

log f ( x ) = log ( 2x ) to f ( x) = log ( - 2x )

log ( - 2x ) to log ( -2x - 4 )

log ( - 2x - 4 ) to log ( - 2x - 4 ) + 5

Explanation:

Hope this helps

Answer 2

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