Question

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

Answer 1

Answer:

$g(x)=x+2$

Step-by-step explanation:

The given parent function is $f(x)=x+6$

If this function is shifted 4 units to the right, then the resulting function g(x) is related to the parent function by:

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

$\implies g(x)=x-4+6$

$\implies g(x)=x+2$

From the attachment, we can see that g(x) is actually 4 units to the right of f(x).