Question

Write the equation of a function whose parent function, f(x)= x + 6, is shifted 4 units to the right. Og%) = x - 10 O g(x)=-4 Og%) = x + 2 Ogl/)=+ 10​

Answer 1

Given:

The parent function is

`f(x)=x+6`

To find:

The equation of a function whose parent function, f(x)= x + 6, is shifted 4 units to the right.

Solution:

If parent function f(x) is shifted a units to the right to get the function g(x), then

`g(x)=f(x-a)`

Here, a=4 units.

`g(x)=f(x-4)`

`g(x)=(x-4)+6`
`[\because f(x)=x+6]`

`g(x)=x+2`

Therefore, the required function is
`g(x)=x+2` and option C is correct.