Question

Which answer describes the transformation of g(x)=log3(x+3)+1 from the parent function f(x)=log3x ?

It is the graph of f(x) shifted 1 unit right and 3 units down.

It is the graph of f(x) shifted 3 units right and 1 unit up.

It is the graph of f(x) shifted 3 units right and 1 unit down.

It is the graph of f(x) shifted 3 units left and 1 unit up.

Answer 1

I took the test and actually the correct answer is D: It is the graph of f(x) shifted 3 units LEFT and 1 UNIT UP. for anyone in the future who is taking this test THIS is the correct answer.

Explanation:

Answer 2

The answer would be: It is the graph of f(x) shifted 3 units right and 1 unit down.

When you shift the graph 3 unit right and 1 unit down, the change equation would be:
x=x'+3
y= y'-1

Put it into the original graph will result:
y= log3 x
(y'-1)= log3 (x'+3)
y= log3 (x'+3) +1