Question

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.

Answer 1

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

Answer 2

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

Step-by-step explanation: We are given logarithm function
`g(x) = log_2(x)`.

Transformed function is
`f(x)=log_2(x)+5`.

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
`log_2(x)+5`, 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.