If you are given the graph of g of x is equal to the log base 2 of x , how could you graph f of x is equal to the log base 2 of x plus 5 ?
Answer
A
Translate each point of the graph of g x 5 units up.
B
Translate each point of the graph of g x 5 units right.
C
Translate each point of the graph of g x 5 units left.
D
Translate each point of the graph of g x 5 units down.
Explanation
Since f(x) = log₂(x) + 5 = g(x) + 5, the 5 is added to the output of g. Adding 5 to every y-value shifts the graph 5 units up, so the correct choice is “Translate each point of the graph of g(x) 5 units up.”
AI-written and checked against the verified answer.