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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)

Respuesta :

[tex]\begin{gathered} f(x)=\log x \\ g(x)=0.2\log (x+14)+10 \end{gathered}[/tex]

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

translate 14 units to the left and 10 unit upwards

[tex]h(x)=5\log (x+14)-10[/tex]

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

translate 14 units to the left and 10 units downwards

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