Question

Determine the transformations that produce the graph of the functions g (T) = 0.2 log(x+14) +10 and h (2) = 5 log(x + 14) – 10 from the parent function f () = log 1. Then compare the similarities and differences between the two functions, including the domain and range. (4 points)

Answer 1

`\begin{gathered} f(x)=\log x \\ g(x)=0.2\log (x+14)+10 \end{gathered}`

The transformation to get g(x) from f(x) are:

translate 14 units to the left and 10 unit upwards

`h(x)=5\log (x+14)-10`

the transformatio to get h(x) from f(x) are:

translate 14 units to the left and 10 units downwards