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
