Question

Which of the following functions would result in a graph that is shifted one
unit to the left of g(x) = 5log x?

PLEASE HELP ME THANK YOU!!​

Answer 1

Answer:

  C.  f(x) = 5·log(x +1)

Step-by-step explanation:

To shift the graph of a function g(x) to the right by "h" units, replace x in the definition with x-h. That is, g(x-h) will be the same graph, but shifted right by h units.

Here, we want h=-1. That is, we want the shift to be the opposite of right 1 unit. So, the shifted function is ...

  g(x-(-1)) = g(x+1)

For g(x) = 5·log(x), the shifted function will be ...

  f(x) = g(x+1)

  f(x) = 5·log(x+1)