Write the equation of a function whose parent function, f (x) = x + 5, is shifted 3 units to the right.

g (x) = x + 3

g (x) = x + 8

g (x) = x - 8

g (x) = x + 2

Option D

The equation of a function whose parent function, f (x) = x + 5, is shifted 3 units to the right is g (x) = x + 2

Solution:

Given that, f (x) = x + 5 is shifted 3 units to the right

If the function f (x) translated horizontally to the right by h units, then the new function g (x) = f (x - h)

If the function f (x) translated horizontally to the left by h units, then the new function g (x) = f (x + h)

f (x) = x + 5 is shifted 3 units to the right:

The new function, g (x) = f (x - h)

Here "h" = 3

f (x) = x + 5

The x in f (x) will change to (x - 3)

The new function = (x - 3) + 5

The new function = x + 2

Thus g (x) = x + 2

Option D is correct

Write the equation of a function whose parent function, f (x) = x + 5, is shifted 3 units to the right.

I think it's g (x) = x + 3.