Question

Which of the following functions would result in a graph that is shifted three units to the left of g(x) = 4logx

Answer 1

Replace the x by x+3

so it would be
4log(x+3)

Answer 2

g(x)=4log(x+3) is the required function.

Explanation:

We have been given a function:

g(x) = 4logx

Now since the graph that is shifted 3 units to the left of the given function

We have transformation rules

If
`x\rightarrow x+a \text{means a units left to the function}`

`\rightarrow x-a \text{means a units right to the function}`

So, here if graph is shifted three units to the left means function g(x) will become

g(x)=4log(x+3) is the required function.