Question

I need help with this

Answer 1

g(x)=log(x+4)

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)