Question

If you are given the graph of g (x) = log Subscript 2 Baseline x, how could you graph f (x) = log Subscript 2 Baseline x 5? Translate each point of the graph of g(x) 5 units up. Translate each point of the graph of g(x) 5 units down. Translate each point of the graph of g(x) 5 units left. Translate each point of the graph of g(x) 5 units right.

Answer 1

The function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As the function that is given to us is f(x)=log₂x, therefore, the function can be written as,

$y=f(x)=\rm log_2x$

Now, since we need every point to be up by 5 units, therefore, every value of x should be +5 on the y axis, therefore, the function that will represent that every point up by 5 units of the function f(x) can be written as,

$g(x) = y+ 5\\\\g(x) = f(x) + 5\\\\g(x) = {\rm log}_2x + 5$

Hence, the function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.

Learn more about Function:

brainly.com/question/5245372