if you are given the graph of $g(x)=log_2 x$, how could you graph $f(x)=log_2 x + 5$?\ntranslate each point…

if you are given the graph of $g(x)=log_2 x$, how could you graph $f(x)=log_2 x + 5$?\ntranslate each point of the graph of $g(x)$ 5 units up.\ntranslate each point of the graph of $g(x)$ 5 units down.\ntranslate each point of the graph of $g(x)$ 5 units left.\ntranslate each point of the graph of $g(x)$ 5 units right.

if you are given the graph of $g(x)=log_2 x$, how could you graph $f(x)=log_2 x + 5$?\ntranslate each point of the graph of $g(x)$ 5 units up.\ntranslate each point of the graph of $g(x)$ 5 units down.\ntranslate each point of the graph of $g(x)$ 5 units left.\ntranslate each point of the graph of $g(x)$ 5 units right.

Answer

Answer:

A. Translate each point of the graph of $g(x)$ 5 units up.

Explanation:

Step1: Recall function - translation rule

For a function $y = f(x)+k$, if $k>0$, the graph of $y = f(x)$ is translated $k$ units up.

Step2: Analyze the given functions

We have $g(x)=\log_2x$ and $f(x)=\log_2x + 5$. Here $k = 5>0$. So the graph of $f(x)$ is obtained by translating the graph of $g(x)$ 5 units up.