Question

Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.

Answer 1

Answer:  The correct option is

(D) $g(x)=x+6.$

Step-by-step explanation:  Given that the following function is shifted 2 units to the right :

$f(x)=x+8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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

$g(x)=f(x-2)=(x-2)+8=x+6.$

Thus, the required function is $g(x)=x+6.$

Option (D) is CORRECT.

Answer 2

Answer:

$g(x)=x+6$

Step-by-step explanation:

we have

$f(x)=x+8$

If f(x) is shifted 2 units to the right

then

The rule of the translation is

$g(x)=f(x-2)$

so

$g(x)=(x-2)+8$

$g(x)=x+6$