given the functions f(x)=1/x−4 +3 and g(x)=1/x+1 +6 .

which statement describes the transformation of the graph of function f onto the graph of function g?

a. the graph shifts 5 units left and 3 units up.
b. the graph shifts 3 units right and 5 units down.
c. the graph shifts 5 units right and 3 units down.
d. the graph shifts 3 units left and 5 units up.

A) The graph shifts 5 units left and 3 units up.

Step-by-step explanation:

For a function following transformation rules is applied.

shifts function units to the right.

shifts function units to the right.

shifts function units upward.

shifts function units down upward.

Given function :

Function  :

So, to transform to we can make changes as

Comparing the two function we conclude the following transformation taking place:

From the above rule stated, we can make a statement about the transformation as following:

The graph shifts 5 units left and 3 units up.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.