Question

Which of the following functions would result in a graph that shifted two units to the left of g(x) = 3 log (x)

Answer 1

Answer:

Option: C is the correct answer.

The transformed function is:

          C) $f(x)=3\log (x+2)$

Step-by-step explanation:

We are given a parent function g(x) as:

                     $g(x)=3\log x$

Now this parent function g(x) is transformed as:

It is shifted two units to the left.

( We know that when any function f(x) is shifted 'a' units to the left or right then the transformed function is: f(x+a)

if a<0 then the shift is a units to the right.

when a>0 then the shift is a units to the left   )

Hence, the rule that follows this transformation is:

                 g(x) → g(x+2)=f(x)

          Hence, the transformed function is:

                $f(x)=3\log (x+2)$

Answer 2

Answer:

f(x)=3 log(x-2)

Step-by-step explanation:

I used Desmos.