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if you are given the graph of g(x)=log2x how would you graph f(x)=log2x+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.

Respuesta :

You would translate  g(x) 5 units up  
First choice.

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


Step-by-step explanation: We are given logarithm function [tex]g(x) = log_2(x)[/tex].

Transformed function is [tex]f(x)=log_2(x)+5[/tex].

According to the rules of transformations,

The transformed function y= f(x) + C would be shift C unit up of f(x) function.

Note: Graph shift C units up if we add any value C to the given function.

If we compare f(x) + C by [tex]log_2(x)+5[/tex], we can see that  value of C is 5.

Therefore, g(x) is being shifted 5 units up.

So, the correct option is :

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


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