Question

Which answer describes the transformation of g(x) = log2 (x+3) + 1 from the

parent function f(x) = log2 x ?
A. It is the graph of f(x) shifted 3 units left and 1 unit up.
B. It is the graph of f(2) shifted 1 unit right and 3 units down.
C. It is the graph of f(2) shifted 3 units right and 1 unit down.
D. It is the graph of f(2) shifted 3 units right and 1 unit up.

Answer 1

Answer: C

Explanation:

Answer 2

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

Explanation:

Any number inside the parentheses that is either negative or positive will do the exact opposite as stated in the equation, it is shifting 3 units to the left. We can also assume that it shifts 1 unit up since it is + 1.