Answer:
[tex]g(x)=x+6[/tex]
Step-by-step explanation:
we have
[tex]f(x)=x+8[/tex]
If f(x) is shifted 2 units to the right
then
The rule of the translation is
[tex]g(x)=f(x-2)[/tex]
so
[tex]g(x)=(x-2)+8[/tex]
[tex]g(x)=x+6[/tex]
Answer: The correct option is
(D) [tex]g(x)=x+6.[/tex]
Step-by-step explanation: Given that the following function is shifted 2 units to the right :
[tex]f(x)=x+8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to write the equation when the function (i) is shifted 2 units to the right.
We know that
if a function is shifted 2 units to the right, then its x co-ordinate is reduced by 2 units.
Therefore, the equation of the new function is given by
[tex]g(x)=f(x-2)=(x-2)+8=x+6.[/tex]
Thus, the required function is [tex]g(x)=x+6.[/tex]
Option (D) is CORRECT.
