Visibility in an airplane is greater than 6.5 miles.
o
4
5.8
6.5
o
8
What other numbers could represent the situation?

Given:

The two functions are:

To find:

The type of transformation from f(x) to g(x) in the problem above and including its distance moved.

Solution:

The transformation is defined as

               .... (i)

Where, a is horizontal shift and b is vertical shift.  

We have,

The function g(x) can be written as

           ...(ii)

On comparing (i) and (ii), we get

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).