Answer:
g(x)=log(x+4)
Step-by-step explanation:
Here the parent function is f(x)=log x. The function has y intercept as 0 at x=1 .
If we observe the translated function we will observe that , the y intercept of new function is 0 at x=-3. Hence the function is moving ahead of the parent function by 4 units and reaches the y intercept being 0.
If we graph
g(X)= log X
the y intercept will be at (1,0)
X = 1 , Y =0
at X=1 , x = -3 or x = X-4
or X=x+4
Hence
new function will be g(x)=log ( x+4)
They are similar , scale factor is 3
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